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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) 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

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