# CBSE Class 12-science Maths Integrals

Study integrals with TopperLearning’s CBSE Class 12 Science Mathematics Integrals video lessons and other valuable resources. Our chapter resources will support you in revising concepts like section formula, integration by partial functions, integrals of trigonometric identities etc.

Now, you need not worry about revising the integrals chapter from your CBSE Class 12 Science Maths syllabus. We have concept videos by experts to brush up your basics. Our textbook solutions and sample paper solutions will equip you with the techniques to apply formulae in the problems related to integrals. The practice tests and past years’ papers with solutions available on our study portal can give you the confidence to excel in your board exams.

#### Introduction to Integration

Integration as an anti derivative reverse of differentiation, geometric interpretation of integrals, integrals of standard functions#### Integration by Substitution

Use section formula to find mid point of a line segment whose end points are known. Solve problems based on them.#### Integrals of Special Functions

Learn standard formulae for integration of functions involving quadratic functions in denominator and under the root sign.#### Integrals of Trigonometric Identities

Use trigonometric identities to simplify integrands involving trigonometric functions like sin ax.cos bx or sq. and cubes of sinx and cosx.#### Integration by Partial Fractions

Integration by partial fractions when factors in denominator are linear but non-repeated/ repeated, are quadratic and non-repeated.#### Integration by Parts

Study the standard rule for integration of product of two functions. And also study ILATE rule.#### More Problems on Integration

Integrals of the form sqrt of (x^2-a^2), sqrt of (x^2+a^2), sqrt of (a^2- x^2),#### Limit of A Sum

Definite Integrals, Geometrical Interpretation of definite integrals, first principle of integration, definite integrals as limit of sums.#### Properties of Definite Integrals

Properties change of variable, interchange of limits, Applications of properties in solving definite integrals#### Evaluating Definite Integrals

State Fundamental Theorem of Calculus use it to evaluate definite integrals. Evaluate definite integrals using substitution.#### Problems on Definite Integrals

Properties of definite integrals, application of properties in solving integrals