What is the integral from pi/2 to pi of x ?

The integral from pi/2 to pi of x is (3pi^2)/8

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integral from pi/2 to pi of x

\int_{\frac{π}{2}}^{π} x d x

\frac{3 π ^{2}}{8}

Solution steps

\int_{\frac{π}{2}}^{π} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{\frac{π}{2}}^{π}

= [\frac{x ^{2}}{2}]_{\frac{π}{2}}^{π}

Compute the boundaries:

\frac{3 π ^{2}}{8}

= \frac{3 π ^{2}}{8}

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What is the integral from pi/2 to pi of x ?
The integral from pi/2 to pi of x is (3pi^2)/8