# Application of Antiderivative

**Application of Antiderivative**

Antiderivates can be defined as the inverse function of derivatives. An antiderivative of a function f(x) is a function whose derivative is f(x).

*Some of the important formulas of Antiderivatives are as follows:-*

(i)Let f (x) be function of x, then definite integral g of f (x) with respect to x between the limit a & b is devoted by and defined by

= which also known as limit of a sum.

(ii)The area bounded by the curve y = f (x), x-axis and x = a and x = b is given by

(iii)The area bounded by the curve x = f (y), y-axis and y = a & y = b is

(iv)Area between two curves and x = a & x = b is given by if the graphical about both axes then,

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