Solutions of ISC Class 12 Mathematics Board Questions (2020 to 2023) on integration 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 process of finding functions whose derivative is given is called antidifferentiation or integration.
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