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

The integral from 0 to 2 of x^2 is 8/3

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integral from 0 to 2 of x^2

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

\frac{8}{3}

Decimal Notation

2.66666 \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{8}{3}

= \frac{8}{3}

\int e^{x^{2}} x^{2} d x

y^{^{'}} = e^{5 y + 8 x}, y (0) = 3

\frac{d}{d x} (\frac{2}{e ^{x} + e ^{- x}})

\frac{d}{d x} (\frac{2 x ^{4} + 3 x ^{2} - 1}{x ^{2}})

x \to \frac{π}{2} lim (\frac{π}{2} - x)

What is the integral from 0 to 2 of x^2 ?
The integral from 0 to 2 of x^2 is 8/3