What is the integral from a to a^2 of x^2 ?

The integral from a to a^2 of x^2 is (a^6-a^3)/3

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integral from a to a^2 of x^2

\int_{a}^{a^{2}} x^{2} d x

\frac{a ^{6} - a ^{3}}{3}

Solution steps

\int_{a}^{a^{2}} x^{2} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{a ^{6}}{3} - \frac{a ^{3}}{3}

= \frac{a ^{6}}{3} - \frac{a ^{3}}{3}

Simplify

= \frac{a ^{6} - a ^{3}}{3}

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What is the integral from a to a^2 of x^2 ?
The integral from a to a^2 of x^2 is (a^6-a^3)/3