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}

\frac{d}{d x} (20 x^{- 8} + 5 x^{- 3} - 7 x^{- 7})

\frac{d}{d x} (\frac{1}{x ^{2} - 9 y ^{2}})

\frac{d}{d x} ((1 - x^{2})^{10})

\int (1 + x^{2})^{- \frac{1}{2}} d x

(- \frac{2}{7}, \frac{2}{3}), (\frac{5}{7}, - \frac{7}{3})

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))