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) da?

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

= sin a + \(\frac{a^{2}}{2}\) + c

Stay tuned to CoolGyan’S to explore more on other important mathematical formulas.