Calculus Examples

$\int - \sin (x) d x$

Step 1

Since $- 1$ is constant with respect to $x$ , move $- 1$ out of the integral.

$- \int \sin (x) d x$

Step 2

The integral of $\sin (x)$ with respect to $x$ is $- \cos (x)$ .

$- (- \cos (x) + C)$

Step 3

Simplify the answer.

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Step 3.1

Simplify.

$- - \cos (x) + C$

Step 3.2

Simplify.

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Step 3.2.1

Multiply $- 1$ by $- 1$ .

$1 \cos (x) + C$

Step 3.2.2

Multiply $\cos (x)$ by $1$ .

$\cos (x) + C$