Calculus Examples

$\int_{0}^{2 π} \cos (x) d x$

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

$\sin (x)]_{0}^{2 π}$

Simplify the answer.

Tap for more steps...

Evaluate $\sin (x)$ at $2 π$ and at $0$ .

$\sin (2 π) - \sin (0)$

Simplify.

Tap for more steps...

The exact value of $\sin (0)$ is $0$ .

$\sin (2 π) - 0$

Multiply $- 1$ by $0$ .

$\sin (2 π) + 0$

Add $\sin (2 π)$ and $0$ .

$\sin (2 π)$

Evaluate.

Tap for more steps...

$2 π$ is a full rotation so replace with $0$ .

$\sin (0)$

The exact value of $\sin (0)$ is $0$ .

$0$