Skip to content

NIRMAL ANAND EDUCATIONS

ANAND CLASSES

  • Anand Classes
  • Contact
  • About Er. Neeraj Anand

Indefinite Integrals

Integral Calculus – Definition, Formulas, Methods, Applications, Examples, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integral calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which is the inverse process of differentiation. Both the integral and differential calculus are related to each other by the fundamental theorem of calculus. In this article, you will learn what is integral calculus, why it is used, its types, formulas, examples, and applications of integral calculus in detail.

Integral Calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which …

Read more

Integration in Maths – Definition, Formulas and Types, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities such as areas, volumes, displacement, etc. When we speak about integrals, it is related to usually definite integrals. The indefinite integrals are used for antiderivatives. Integration is one of the two major calculus topics in mathematics, apart from differentiation(which measure the rate of change of any function with respect to its variables). It’s a vast topic which is discussed at higher level classes like in class 11 and 12. Integration by parts and by the substitution is explained broadly. Here, you will learn the definition of integrals in maths, formulas of integration along with examples.

Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities such as areas, …

Read more

Integrals | Definition, Meaning, Formula, Application and Examples, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
An integral in mathematics is a continuous analog of a sum that is used to determine areas, volumes, and their generalizations. Performing integration is the process of computing an integral and is one of the two basic concepts of calculus.

An integral in mathematics is a continuous analog of a sum that is used to determine areas, volumes, and their generalizations. …

Read more

Integration by Substitution Method – Formula, Examples & Questions, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integration by substitution or u-substitution is a highly used method of finding the integration of a complex function by reducing it to a simpler function and then finding its integration.

Integration by substitution or u-substitution is a highly used method of finding the integration of a complex function by reducing it to a …

Read more

Integration by Partial Fractions – Method, Examples & Practice Problems, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integration by partial fractions is one of the methods of integration, which is used to find the integral of the rational functions. In partial fraction decomposition, an improper-looking rational function is decomposed into the sum of various proper rational functions.

Integration by Partial Fractions is one of the methods of integration, which is used to find the integral of the …

Read more

Integration by Parts | Formula, Derivation and Examples, Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integration by parts or partial integration, is a technique used in calculus to evaluate the integral of a product of two functions.

Integration by Parts or Partial Integration, is a technique used in calculus to evaluate the integral of a product of two functions. The formula …

Read more

Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF

August 8, 2025January 10, 2025 by Neeraj Anand, Param Anand

The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …

Read more

Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand

The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …

Read more

Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand

The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …

Read more

Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand

The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …

Read more

Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF

August 8, 2025January 10, 2025 by Neeraj Anand, Param Anand

The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …

Read more

Integral of Particular Functions (With Proof and Example) | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integral is the method to sum the functions on a large scale. Hence, here we have discussed integrals of some particular functions which are usually used for calculations. These integrals have huge applications in real life, such as finding the area between curves, volume, the average value of the function, kinetic energy, center of mass, work-done, etc.

Integral is the method to sum the functions on a large scale. Hence, here we have discussed integrals of some …

Read more

Partial Fraction in Integration – Definition, Formula, Decomposition, Examples | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction. Hence, basically, it is the reverse of the addition of rational expressions. Similar to fractions, a partial fraction will have a numerator and denominator, where the denominator represents the decomposed part of a rational function.

Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into …

Read more

Integration by Parts – Formula, ILATE Rule & Solved Examples | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
Integration by parts is a special technique of integration of two functions when they are multiplied. This method is also termed as partial integration. Another method to integrate a given function is integration by substitution method. These methods are used to make complicated integrations easy.

Integration by parts is a special technique of integration of two functions when they are multiplied. This method is also …

Read more

Indefinite Integrals MCQs With Answers | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
Check out the mcqs for class 12 maths chapter 7 integrals. Each mcq is provided with four options, out of which only one option is correct. Students should choose the correct option and cross-verify their answers to the solutions provided on our page. Also, check important questions for class 12 maths.

MCQs on Class 12 Maths Chapter 7 Integrals Check out the MCQs for Class 12 Maths Chapter 7 Integrals. Each …

Read more

Important Integration Questions With Answers | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
Integration questions with answers are available here for students of class 11 and class 12. Integration is an important topic for 11th and 12th standard students as these concepts are further covered in higher studies. The problems provided here are as per the cbse board and ncert curriculum. Exercising these questions will help students to solve the hard questions also and obtain more marks in the exam. Learn integration rules here.

Integration questions with answers are available here for students of Class 11 and Class 12. Integration is an important topic …

Read more


Anand Technical Publishers

Buy Products (Printed Books & eBooks) of Anand Classes published by Anand Technical Publishers, Visit at following link :

Book Store

Recent Posts

Physics Class 11 Study Material For JEE NEET Students

Motion in a Plane-Practice Questions with Answers & Explanations

Physics Class 11 Study Material For JEE NEET Students

Motion in a Plane-NCERT Exemplar Solution Class 11 Physics

Physics Class 11 Study Material For JEE NEET Students

Inclined Plane – Motion of Objects on an Incline, Solved Problems

Physics Class 11 Study Material For JEE NEET Students

Vectors – Types, Properties, Polygon, Parallelogram Law, Dot,Cross Product – IIT JEE Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Vector and Scalar-Definition, Vector Addition and Subtraction, Differences, Solved Problems

Physics Class 11 Study Material For JEE NEET Students

Types of Vectors-Physics Class 11 CBSE Notes

Physics Class 11 Study Material For JEE NEET Students

Vectors-Questions with Solutions Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Vector Properties|Equality of Vectors|Unit Vector

Physics Class 11 Study Material For JEE NEET Students

Position Vector | Displacement Vectors | Examples | Class 11 Physics

Physics Class 11 Study Material For JEE NEET Students

Vector Laws Formulas and Equations with Solved Examples Class 11 Physics

Physics Class 11 Study Material For JEE NEET Students

Vectors Addition and Subtraction Laws-Solved Examples

Physics Class 11 Study Material For JEE NEET Students

Vector And Scalar Quantities – Definition and Examples

Physics Class 11 Study Material For JEE NEET Students

Vectors-JEE Advanced Previous Year Questions with Solutions

Physics Class 11 Study Material For JEE NEET Students

Components of a Vector And Unit Vectors-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Triangle Law of Vector Addition-Formula And Derivation-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Scalars and Vectors Questions with Answers Physics Class 11 Study Material

Physics Class 11 Study Material For JEE NEET Students

Scalar And Vector Products Notes-Class 11 Physics

Physics Class 11 Study Material For JEE NEET Students

Velocity Components of Vectors, Solved Examples-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Concept of Vector Addition, Explanation and Important Questions

Physics Class 11 Study Material For JEE NEET Students

Dot Product Of Two Vectors | Definition, Properties, Formulas and Examples

Physics Class 11 Study Material For JEE NEET Students

NEET MCQs-Fundamentals of Vectors

Physics Class 11 Study Material For JEE NEET Students

NCERT Solutions-Motion In A Plane Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Projectile Motion – Definition, Formula, Examples, Concepts, FAQs

Physics Class 11 Study Material For JEE NEET Students

Projectile Motion-MCQs,Important Questions and Answers

Physics Class 11 Study Material For JEE NEET Students

Projectile Motion Properties-Class 11 Physics Study Material

Physics Class 11 Study Material For JEE NEET Students

Horizontal Projectile Motion-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

NEET MCQs-Horizontal Projectile Motion

Physics Class 11 Study Material For JEE NEET Students

What is Horizontal Range in Projectile Motion?

Physics Class 11 Study Material For JEE NEET Students

Newton’s Laws of Motion – Three Laws of Motion Explanation, Examples

Physics Class 11 Study Material For JEE NEET Students

Laws of Motion-CBSE Class 11 Physics Notes Study Material

Physics Class 11 Study Material For JEE NEET Students

What are the three Laws of Motion?-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Newton’s Second Law Of Motion – Derivation, Applications, Solved Examples and FAQs

Physics Class 11 Study Material For JEE NEET Students

Newton’s Third Law of Motion – Explanation, Solved Examples and FAQs

Physics Class 11 Study Material For JEE NEET Students

Force and Motion: Formula, Unit, Relation, Law Of Motion.

Physics Class 11 Study Material For JEE NEET Students

Inertia – Definition, Laws of inertia, Types, Examples, FAQs

Physics Class 11 Study Material For JEE NEET Students

Laws of motion MCQs for NEET Physics Class 11

Physics Class 11 Study Material For JEE NEET Students

Law Of Conservation Of Linear Momentum – Principle, Formula & Examples

Physics Class 11 Study Material For JEE NEET Students

Conservation Of Momentum – Definition, Formula, Examples

Physics Class 11 Study Material For JEE NEET Students

Conservation Of Momentum – Derivation, Definition-Formula, Examples, Applications, FAQs

Physics Class 11 Study Material For JEE NEET Students

Conservation of Linear Momentum Formula and Examples-Class 11 Physics

Physics Class 11 Study Material For JEE NEET Students

IIT JEE Notes-Law of Conservation of Linear Momentum

Physics Class 11 Study Material For JEE NEET Students

State the law of conservation of momentum-Class 11 Physics Study material

Physics Class 11 Study Material For JEE NEET Students

Momentum And Its Conservation Formula-Solved Examples

Physics Class 11 Study Material For JEE NEET Students

Elastic and Inelastic Collision-Conservation of Momentum-Solved Examples

Physics Class 11 Study Material For JEE NEET Students

Derive Law Of Conservation Of Momentum-Class 11 Physics Notes

Physics Class 11 Study Material For JEE NEET Students

Mass,Inertia,Weight and Momentum-Class 11 Physics Study material

Physics Class 11 Study Material For JEE NEET Students

Law of Conservation of Linear Momentum Questions Answers and Explanations

Chemistry in Everyday Life- Importance, Applications, Real Life Examples

What is Matter in Chemistry : Definition & Types

Properties of Matter-Class 11 Chemistry Notes Study Material

Measurement Uncertainty-Significant Figures,Accuracy, Precision Solved Examples

Laws Of Chemical Combination For Elements And Compounds-Class 11 Chemistry Notes

Dalton’s Atomic Theory-Class 11 Chemistry Notes Study Material

Gram Atomic and Gram Molecular Mass-Solved examples Chemistry Class 11 Notes Study Material

Mole Concept-Definition, Formula, Examples, and FAQs-Class 11 Chemistry Notes

Percentage Composition-Solved Examples-Class 11 Chemistry Notes Study Material

Stoichiometry and Stoichiometric Calculations-Solved Examples-Class 11 Chemistry Notes Study Material

Define Laws of Chemical Combination-Class 11 Chemistry Notes

NCERT Solutions-Some Basic Concepts of Chemistry Class 11 Notes

Some Basic Concepts of Chemistry Important Questions Answers

NCERT Exemplar Solutions-Basic Concepts of Chemistry

Some Basic Concepts of Chemistry Questions Answer Explanations With Practice Questions

Some Basic Concepts of Chemistry Test Paper Practice Questions Class 11

Some Basic Concepts of Chemistry Worksheet Practice Questions Test Paper

Mole Concept-Formula, Explanations, Solved Examples, FAQs

Mole Concept MCQs-JEE Previous Year Questions With Solutions

Molar Mass (Molecular Weight) – Definition, Formula & Examples of Molar Mass

Mole Concept-MCQs for NEET with Answers

Empirical and Molecular Formula-Definitions, Solved Examples,FAQs

Empirical Formula Calculation with Related Examples

Molecular Formula Calculation with Practice Questions

Calculate the empirical and molecular formula of an organic compound whose percentage composition is C=70.54%, H=5.87% and O=23.52%

What is the meaning of empirical formula? Class 11 Chemistry Notes

What is the empirical formula for glucose? Chemistry Q&A

What do you mean by the empirical formula of a compound? Chemistry Question and Answer

Empirical Formula & Molecular Formula-Definitions, Solved Examples

John Dalton’s Atomic Theory – Postulates & Limitations with FAQs and Examples of Atomic Theory

Chemistry In Everyday Life – Importance, Examples, Uses-Class 11 Chemistry Notes

Atoms & Molecules-Atom Definition, History, Structure of Atom & Molecules with Examples

Atomic And Molecular Mass of Elements | Relative Molecular Weight-Class 11 Chemistry Study Material

Chemical Reactions-Definition, Equations, Types, Examples, FAQs

What Is Stoichiometry?-Formula, Example, Balancing Equations, Stoichiometric Coefficient and Problems on Stoichiometry

Stoichiometric Calculations – Stoichiometric Equation Definition

Discovery & Characteristics of Electron-Electron Configuration with Examples

Discovery of Proton and Neutron-Who Discover Proton and Neutron, FAQS Class 11 Chemistry Notes

Define Atomic Number & Mass Number Examples,FAQs-Class 11 Chemistry Notes Study Material

Isotopes and Isobars-Difference between Isotopes & Isobars

Thomson Atomic Model and Limitations | Development of Atomic Model-Class 11 Chemistry Notes

Rutherford Atomic Model Observations and Limitations-Class 11 Chemistry Study Material

Postulates Bohr’s Atomic Model And Its Limitations-Chemistry Class 11 Notes

Derive De Broglie Relationship-Significance Of De Broglie Equation

Heisenberg Uncertainty Principle-Derivation, Detailed Explanation, Formula

Orbitals – Definition, Types, Orbital Shapes, Quantum Numbers

Quantum Numbers (Principal, Azimuthal, Magnetic and Spin) – Definition, Detailed Explanation, FAQs of Quantum Numbers.

Shapes of Atomic Orbitals-s, p, d, and f Orbital-Class 11 Chemistry Notes

Electronic Configuration of Elements-Stability of Half Filled and Fully Filled Orbitals

Aufbau Principle-Explanation, Exceptions-Class 11 Chemistry Notes

Pauli Exclusion Principle-Definition, Explanation, Examples

Hunds Rule of Maximum Multiplicity – Explanation for Atomic Energy Levels and Configuration

Electron Configuration – Detailed Explanation, Filling of orbital, Representation of Electronic Configuration of Atom with FAQs .

📞 Call Us Now

Speak directly with our academic experts to know more about admissions, study material, or batch schedules.

Call: +91-94631-38669

💬 Chat on WhatsApp

Get instant responses to your questions about coaching programs and study resources.

WhatsApp Now

▶️ Watch Video Lectures

Explore high-quality video lessons and concept explanations by Neeraj Anand Sir.

Visit YouTube Channel
© 2025 Anand Classes • Published by Anand Technical Publishers
Privacy PolicyTermsContact

“Your Trusted Partner for JEE, NEET & NDA Preparation”

"Anand Technical Publishers, under Anand Classes, is dedicated to publishing high-quality, exam-oriented books for JEE, NEET, NDA and Board exams—crafted by expert educators to ensure concept clarity and competitive success.