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) d a \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.

Formula for Integral Calculus

Integral Calculus Examples:

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