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

The integral from 0 to 1 of x*x is 1/3

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integral from 0 to 1 of x*x

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Simplify

xx : x^{2}

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{1}

= [\frac{x ^{3}}{3}]_{0}^{1}

Compute the boundaries:

\frac{1}{3}

= \frac{1}{3}

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

\int_{- 3}^{3} \frac{1}{x - 1} d x

\int_{2}^{3} (2 + 2 y)^{2} d y

\int_{0}^{1} - 1 + \frac{π x}{2} d x

\int_{1}^{2} x (x - 1) d x

What is the integral from 0 to 1 of x*x ?
The integral from 0 to 1 of x*x is 1/3