Calculus Examples

$\int 4 \csc^{2} (x) d x$

Step 1

Since $4$ is constant with respect to $x$ , move $4$ out of the integral.

$4 \int \csc^{2} (x) d x$

Step 2

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

$4 (- \cot (x) + C)$

Step 3

Simplify the answer.

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Step 3.1

Simplify.

$4 (- \cot (x)) + C$

Step 3.2

Multiply $- 1$ by $4$ .

$- 4 \cot (x) + C$