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

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

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integral from 0 to sqrt(2 of)x^2

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

\frac{2 2}{3}

Decimal

0.94280 \dots

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{2 2}{3}

= \frac{2 2}{3}

\int_{0}^{1} x (2 - x^{2})^{12} d x

\int_{0}^{\infty} e^{- \frac{x}{5}} d x

\int_{3}^{2} x^{2} d x

\int_{2}^{3} \frac{2 x}{( x ^{2} + 4 ) ^{3}} d x

\int_{- 1}^{1} (2 x^{2} - 3) d x

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