Calculus Examples

$\int_{0}^{\frac{π}{2}} \sin (x) d x$

Step 1

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

$- \cos (x)]_{0}^{\frac{π}{2}}$

Step 2

Simplify the answer.

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Step 2.1

Evaluate $- \cos (x)$ at $\frac{π}{2}$ and at $0$ .

$- \cos (\frac{π}{2}) + \cos (0)$

Step 2.2

Simplify.

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Step 2.2.1

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$- 0 + \cos (0)$

Step 2.2.2

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

$- 0 + 1$

Step 2.2.3

Multiply $- 1$ by $0$ .

$0 + 1$

Step 2.2.4

Add $0$ and $1$ .

$1$