Defination of Integration

The process of finding functions whose derivative is given is called anti-differentiation or integration.

∫ f(x) dx = F(x) + C

The function F(x) is called anti-derivative or integral of the function f(x) and C is called Constant of integration

Definite Integral as a limit of Sum

Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we define