# Integral Calculus Formula

The branch of calculus where we get to study about integrals and their properties is known as Integral Calculus. It is a function F(a), which is an antiderivative of a function f(a) if for all in the domain of f, F’(a) = f(a).

## Formula for Integral Calculus

In this page, you’ll see the basic calculus formula and the practice examples.

 $\int f(a)da$ = F(a) + C, where C is a constant

## Integral Calculus Examples:

Example 1: Find the integral calculus of sin(a)?

Solution: The function $\int$ sin(a) has the integral -cos(a) + c , so it will be written as $\int$ sin(a) = -cos(a) + c

Example 2: Find what is $\int$cos a + a d(a)

Use sum rule : $\int$cos a + a d(a) = $\int$cos a da + $\int$a d(a)

Writing the integral of each,

= sina + $\frac{x^{2}}{2}$ + c

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