Calculus Examples

$\int_{0}^{1} \cos (x) d x$

Step 1

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

$\sin (x)]_{0}^{1}$

Step 2

Simplify the answer.

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Evaluate $\sin (x)$ at $1$ and at $0$ .

$\sin (1) - \sin (0)$

Simplify.

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

$\sin (1) - 0$

Multiply $- 1$ by $0$ .

$\sin (1) + 0$

Add $\sin (1)$ and $0$ .

$\sin (1)$

Step 3

Evaluate $\sin (1)$ .

$0.84147098$