What is the integral from pi/6 to pi/2 of cos(x) ?

The integral from pi/6 to pi/2 of cos(x) is 1/2

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integral from pi/6 to pi/2 of cos(x)

\int_{\frac{π}{6}}^{\frac{π}{2}} cos (x) d x

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\int_{\frac{π}{6}}^{\frac{π}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{6}}^{\frac{π}{2}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

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What is the integral from pi/6 to pi/2 of cos(x) ?
The integral from pi/6 to pi/2 of cos(x) is 1/2