NCERT Solutions for Class 12 Mathematics Chapter 7 (Integrals) are given below.
Integration is an inverse process of differentiation. So integration is also known as antidifferentiation.
The solutions are given in simple steps.
A symbol ∫ represents integrals and C represents the integration constant.
All functions are not differentiable. Similarly, all functions are not integrable.
When a polynomial function P is differentiated, the result is a polynomial whose degree is 1 less than the degree of P. When a polynomial function P is integrated, the result is a polynomial whose degree is 1 more than P.
The derivative is used for finding some physical quantities like the velocity of a moving particle when the distance traversed at any time t is known. Similarly, the integral is used in calculating the distance traversed when the velocity at time t is known.
The two types of integrals i.e., indefinite integrals and definite integrals are connected by the fundamental theorem of integral calculus, which makes definite integrals as a practical tool for sciences, engineering, etc.
The Formula of Integration for Class 11 and 12 
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