What is the integral from 0 to pi/4 of (cos(x)) ?

The integral from 0 to pi/4 of (cos(x)) is 1/(sqrt(2))

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integral from 0 to pi/4 of (cos(x))

\int_{0}^{\frac{π}{4}} (cos (x)) d x

\frac{1}{2}

Decimal Notation

0.70710 \dots

Solution steps

\int_{0}^{\frac{π}{4}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{0}^{\frac{π}{4}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

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What is the integral from 0 to pi/4 of (cos(x)) ?
The integral from 0 to pi/4 of (cos(x)) is 1/(sqrt(2))