What is the integral from 0 to 10 of x^2 ?

The integral from 0 to 10 of x^2 is 1000/3

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integral from 0 to 10 of x^2

\int_{0}^{10} x^{2} d x

\frac{1000}{3}

Decimal Notation

333.33333 \dots

Solution steps

\int_{0}^{10} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{10}

= [\frac{x ^{3}}{3}]_{0}^{10}

Compute the boundaries:

\frac{1000}{3}

= \frac{1000}{3}

\frac{d}{d x} (3 + e^{- 3 x} - 3 e^{- 3 x} x)

\frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}} - \frac{4}{x - 2})

\frac{2 s + 3}{s ^{2} + 17}

\int x + 1 + \frac{2}{3} x d x

x \to + 0 + lim (\frac{2}{1 + ln ( x )})

What is the integral from 0 to 10 of x^2 ?
The integral from 0 to 10 of x^2 is 1000/3