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

The integral from 0 to pi/4 of x is (pi^2)/(32)

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integral from 0 to pi/4 of x

\int_{0}^{\frac{π}{4}} x d x

\frac{π ^{2}}{32}

Decimal

0.30842 \dots

Solution steps

\int_{0}^{\frac{π}{4}} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{\frac{π}{4}}

= [\frac{x ^{2}}{2}]_{0}^{\frac{π}{4}}

Compute the boundaries:

\frac{π ^{2}}{32}

= \frac{π ^{2}}{32}

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What is the integral from 0 to pi/4 of x ?
The integral from 0 to pi/4 of x is (pi^2)/(32)