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.

\(\begin{array}{l}\int f(a)da\end{array} \)
= F(a) + C, where C is a constant

Integral Calculus Examples:

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

Solution: The function

\(\begin{array}{l}\int\end{array} \)
sin(a) da has the integral -cos(a) + c , so it will be written as
\(\begin{array}{l}\int\end{array} \)
sin(a) da = -cos(a) + c

Example 2: Find what is

\(\begin{array}{l}\int\end{array} \)
cos a + a d(a)

Use sum rule :

\(\begin{array}{l}\int\end{array} \)
cos a + a d(a) =
\(\begin{array}{l}\int\end{array} \)
cos a da +
\(\begin{array}{l}\int\end{array} \)
a d(a)

Writing the integral of each,

= sin a +

\(\begin{array}{l}\frac{a^{2}}{2}\end{array} \)
+ c

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

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