What is the integral from 0 to 1 of x(x^3) ?

The integral from 0 to 1 of x(x^3) is 1/5

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integral from 0 to 1 of x(x^3)

\int_{0}^{1} x (x^{3}) d x

\frac{1}{5}

Decimal

0.2

Solution steps

\int_{0}^{1} x x^{3} d x

Simplify

x x^{3} : x^{4}

= \int_{0}^{1} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{0}^{1}

= [\frac{x ^{5}}{5}]_{0}^{1}

Compute the boundaries:

\frac{1}{5}

= \frac{1}{5}

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What is the integral from 0 to 1 of x(x^3) ?
The integral from 0 to 1 of x(x^3) is 1/5