What is the integral from 0.4 to 2.4 of \sqrt[3]{x} ?

The integral from 0.4 to 2.4 of \sqrt[3]{x} is 2.18891…

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integral from 0.4 to 2.4 of \sqrt[3]{x}

2.18891 \dots

Solution steps

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{0.4}^{2.4}

= [\frac{3}{4} x^{\frac{4}{3}}]_{0.4}^{2.4}

Simplify

= [0.75 x^{\frac{4}{3}}]_{0.4}^{2.4}

Compute the boundaries:

2.18891 \dots

= 2.18891 \dots

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What is the integral from 0.4 to 2.4 of \sqrt[3]{x} ?
The integral from 0.4 to 2.4 of \sqrt[3]{x} is 2.18891…