Integrals are the inverse method of differentiation, thus integral calculus helps in finding the anti-derivatives of a function. These anti-derivatives are also called the integrals of the function.

Integrals are the values of the function found by the process of integration(a way of uniting the part to find a whole).

- The process of finding the anti-derivative of a function is called integration.
- The inverse process of finding derivatives is finding the integrals.
- The integral of a function represents a family of curves.
- integration is the inverse of differentiation.
- Integration is the process of finding the area of the region under the curve.
- integral calculus deals with the problems like determining the area of the region bounded by the graph of the functions
- Integrals can be solved with help of various formulas and methods like substitution, partial fraction and integration by parts

The definite integral of a function between the limits a to b(interval

where

In Indefinite Integral, the integrals do not have a pre-existing value of limits.

Components of indefinite integral:

: Integration of with respect to often called “Integral of” stands for Sum and simply means “The whole of” often called “An element of …” simply means “a tiny bit of given variable” : The integrand : The variable of integration : The antiderivative of the function. : The constant of integration

integral calculus where

Derivatives | Integrals |
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