What is the integral from 0 to L/2 of x^2 ?

The integral from 0 to L/2 of x^2 is (L^3)/(24)

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integral from 0 to L/2 of x^2

\int_{0}^{\frac{L}{2}} x^{2} d x

\frac{L ^{3}}{24}

Solution steps

\int_{0}^{\frac{L}{2}} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{\frac{L}{2}}

= [\frac{x ^{3}}{3}]_{0}^{\frac{L}{2}}

Compute the boundaries:

\frac{L ^{3}}{24}

= \frac{L ^{3}}{24}

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