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

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

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integral from 0 to a of x^2

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

\frac{a ^{3}}{3}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{a ^{3}}{3}

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

\int_{- 1}^{4} \frac{2}{3 x ^{2}} d x

\int_{1}^{- 1} (12 r + 11)^{2} d r

\int_{- 1}^{0} \frac{1}{x ^{2} - 4} d x

\int_{0}^{2} - t^{2} + 3 t - 2 d t

\int_{0}^{1} \frac{1}{x ^{2} + 1} d x

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