Integration for Physics - Notes | Study Physics For JEE - JEE

Integration is an inverse process of differentiation.
It is the process of finding the function whose derivative is given.
Suppose F(x) is the derivative of the function f(x) w.r.t.x. Then we can write

Now, if we are given the derivative F(x) and we have to find the function f(x) then this can be done with the help of Integral Calculus.
The process of finding the function whose derivative is given is called integration.

Definition: If the derivative of a function f(x) is F(x) then f(x) is called the integral of F(x) with respect to x. The integration of a function can be written as ∫ F(x)dx = f (x). The function F(x) whose integral is f(x) is called Integrand. 

Fundamental Formulae of Integration

Theorems of Integration

First Theorem: The integral of the product of a constant and a function is equal to the product of the constant and integral of the function.
i.e ∫ c u d x = c ∫ u d x , where c is constant. 

Second Theorem: The integral of the sum or difference of a number of functions is given b