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

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

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integral from 0 to x^2 of x

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

\frac{x ^{4}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{x ^{4}}{2}

= \frac{x ^{4}}{2}

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