What is the integral from 0 to 2 of x^6 ?

The integral from 0 to 2 of x^6 is 128/7

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integral from 0 to 2 of x^6

\int_{0}^{2} x^{6} d x

\frac{128}{7}

Solution steps

\int_{0}^{2} x^{6} d x

Apply the Power Rule

: [\frac{x ^{7}}{7}]_{0}^{2}

= [\frac{x ^{7}}{7}]_{0}^{2}

Compute the boundaries:

\frac{128}{7}

= \frac{128}{7}

\int x cos (4 π) x^{2} d x

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

y = 2 x^{2}, y = 2 x + 6

ln (x)

\frac{d}{d x} (\frac{e ^{x} - e ^{- x}}{5})

What is the integral from 0 to 2 of x^6 ?
The integral from 0 to 2 of x^6 is 128/7