What is the integral from 0 to 1 of x*x^2 ?

The integral from 0 to 1 of x*x^2 is 1/4

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integral from 0 to 1 of x*x^2

\int_{0}^{1} x \cdot x^{2} d x

\frac{1}{4}

Decimal

0.25

Solution steps

\int_{0}^{1} x x^{2} d x

Simplify

x x^{2} : x^{3}

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

Apply the Power Rule

= [\frac{x ^{4}}{4}]_{0}^{1}

Compute the boundaries:

\frac{1}{4}

= \frac{1}{4}

What is the integral from 0 to 1 of x*x^2 ?
The integral from 0 to 1 of x*x^2 is 1/4