What is the integral from 1 to 8 of 7\sqrt[3]{x} ?

The integral from 1 to 8 of 7\sqrt[3]{x} is 315/4

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integral from 1 to 8 of 7\sqrt[3]{x}

\frac{315}{4}

Decimal Notation

78.75

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{1}^{8}

= 7 [\frac{3}{4} x^{\frac{4}{3}}]_{1}^{8}

Compute the boundaries:

\frac{45}{4}

= 7 \cdot \frac{45}{4}

Simplify

= \frac{315}{4}

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What is the integral from 1 to 8 of 7\sqrt[3]{x} ?
The integral from 1 to 8 of 7\sqrt[3]{x} is 315/4