Calculus Examples

$\frac{8}{1 + t^{2}}$

Step 1

Since $8$ is constant with respect to $t$ , move $8$ out of the integral.

$8 \int \frac{1}{1 + t^{2}} d t$

Step 2

Rewrite $1$ as $1^{2}$ .

$8 \int \frac{1}{1^{2} + t^{2}} d t$

Step 3

The integral of $\frac{1}{1^{2} + t^{2}}$ with respect to $t$ is $\arctan (t) + C$ .

$8 (\arctan (t) + C)$

Step 4

Simplify.

$8 \arctan (t) + C$