Calculus Examples

$\int \frac{3}{\sin^{2} (x)} d x$

Step 1

Since $3$ is constant with respect to $x$ , move $3$ out of the integral.

$3 \int \frac{1}{\sin^{2} (x)} d x$

Step 2

Convert from $\frac{1}{\sin^{2} (x)}$ to $\csc^{2} (x)$ .

$3 \int \csc^{2} (x) d x$

Step 3

Since the derivative of $- \cot (x)$ is $\csc^{2} (x)$ , the integral of $\csc^{2} (x)$ is $- \cot (x)$ .

$3 (- \cot (x) + C)$

Step 4

Simplify the answer.

Tap for more steps...

Step 4.1

Simplify.

$3 (- \cot (x)) + C$

Step 4.2

Multiply $- 1$ by $3$ .

$- 3 \cot (x) + C$