Calculus Examples

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

Step 1

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

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

Step 2

Simplify the answer.

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Step 2.1

Evaluate $- \cos (x)$ at $1$ and at $0$ .

$- \cos (1) + \cos (0)$

Step 2.2

The exact value of $\cos (0)$ is $1$ .

$- \cos (1) + 1$

Step 2.3

Simplify.

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Step 2.3.1

Evaluate $\cos (1)$ .

$- 1 \cdot 0.5403023 + 1$

Step 2.3.2

Multiply $- 1$ by $0.5403023$ .

$- 0.5403023 + 1$

Step 2.3.3

Add $- 0.5403023$ and $1$ .

$0.45969769$