Calculus Examples

$\frac{1}{3 \int_{0}^{1} \cos (u) d u}$

Step 1

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

$\frac{1}{3 (\sin (u)]_{0}^{1})}$

Step 2

Simplify the answer.

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Step 2.1

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

$\frac{1}{3 (\sin (1) - \sin (0))}$

Step 2.2

Simplify.

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Step 2.2.1

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

$\frac{1}{3 (\sin (1) - 0)}$

Step 2.2.2

Multiply $- 1$ by $0$ .

$\frac{1}{3 (\sin (1) + 0)}$

Step 2.2.3

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

$\frac{1}{3 \sin (1)}$

Step 2.3

Simplify.

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Step 2.3.1

Evaluate $\sin (1)$ .

$\frac{1}{3 \cdot 0.84147098}$

Step 2.3.2

Multiply $3$ by $0.84147098$ .

$\frac{1}{2.52441295}$

Step 2.3.3

Divide $1$ by $2.52441295$ .

$0.3961317$