Calculus Examples

$\int_{0}^{90^{0}} \cos (x) d x$

Step 1

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

$\sin (x)]_{0}^{90^{0}}$

Step 2

Simplify the answer.

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Step 2.1

Substitute and simplify.

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Step 2.1.1

Evaluate $\sin (x)$ at $90^{0}$ and at $0$ .

$(\sin (90^{0})) - \sin (0)$

Step 2.1.2

Anything raised to $0$ is $1$ .

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

Step 2.2

Simplify.

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Step 2.2.1

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

$\sin (1) - 0$

Step 2.2.2

Multiply $- 1$ by $0$ .

$\sin (1) + 0$

Step 2.2.3

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

$\sin (1)$

Step 3

Evaluate $\sin (1)$ .

$0.84147098$