What is the integral from 0 to 1 of 6\sqrt[6]{x} ?

The integral from 0 to 1 of 6\sqrt[6]{x} is 36/7

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integral from 0 to 1 of 6\sqrt[6]{x}

\frac{36}{7}

Decimal

5.14285 \dots

Solution steps

Take the constant out:

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

Apply the Power Rule

= 6 [\frac{6}{7} x^{\frac{7}{6}}]_{0}^{1}

Compute the boundaries:

\frac{6}{7}

= 6 \cdot \frac{6}{7}

Simplify

= \frac{36}{7}

What is the integral from 0 to 1 of 6\sqrt[6]{x} ?
The integral from 0 to 1 of 6\sqrt[6]{x} is 36/7