What is the integral from 0 to pi/2 of θ^2 ?

The integral from 0 to pi/2 of θ^2 is (pi^3)/(24)

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integral from 0 to pi/2 of θ^2

\int_{0}^{\frac{π}{2}} θ^{2} d θ

\frac{π ^{3}}{24}

Decimal

1.29192 \dots

Solution steps

\int_{0}^{\frac{π}{2}} θ^{2} d θ

Apply the Power Rule

: [\frac{θ ^{3}}{3}]_{0}^{\frac{π}{2}}

= [\frac{θ ^{3}}{3}]_{0}^{\frac{π}{2}}

Compute the boundaries:

\frac{π ^{3}}{24}

= \frac{π ^{3}}{24}

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What is the integral from 0 to pi/2 of θ^2 ?
The integral from 0 to pi/2 of θ^2 is (pi^3)/(24)