What is the integral from 0 to 8 of x^{4/3} ?

The integral from 0 to 8 of x^{4/3} is 384/7

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integral from 0 to 8 of x^{4/3}

\int_{0}^{8} x^{\frac{4}{3}} d x

\frac{384}{7}

Decimal

54.85714 \dots

Solution steps

\int_{0}^{8} x^{\frac{4}{3}} d x

Apply the Power Rule

: [\frac{3}{7} x^{\frac{7}{3}}]_{0}^{8}

= [\frac{3}{7} x^{\frac{7}{3}}]_{0}^{8}

Compute the boundaries:

\frac{384}{7}

= \frac{384}{7}

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What is the integral from 0 to 8 of x^{4/3} ?
The integral from 0 to 8 of x^{4/3} is 384/7