What is the integral from pi/4 to pi/3 of cos(x) ?

The integral from pi/4 to pi/3 of cos(x) is (sqrt(3))/2-1/(sqrt(2))

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integral from pi/4 to pi/3 of cos(x)

\int_{\frac{π}{4}}^{\frac{π}{3}} cos (x) d x

\frac{3}{2} - \frac{1}{2}

Decimal

0.15891 \dots

Solution steps

\int_{\frac{π}{4}}^{\frac{π}{3}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{4}}^{\frac{π}{3}}

Compute the boundaries:

\frac{3}{2} - \frac{1}{2}

= \frac{3}{2} - \frac{1}{2}

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\int_{0}^{1} \frac{ln ( 1 + t )}{1 + t} d t

\int_{0}^{4} \frac{e ^{x}}{4 + e ^{x}} d x

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What is the integral from pi/4 to pi/3 of cos(x) ?
The integral from pi/4 to pi/3 of cos(x) is (sqrt(3))/2-1/(sqrt(2))