What is the integral from 0 to 1 of 12\sqrt[12]{x} ?

The integral from 0 to 1 of 12\sqrt[12]{x} is 144/13

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integral from 0 to 1 of 12\sqrt[12]{x}

\int_{0}^{1} 12 12 x d x

\frac{144}{13}

Decimal

11.07692 \dots

Solution steps

\int_{0}^{1} 12 12 x d x

Take the constant out:

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

= 12 \cdot \int_{0}^{1} 12 x d x

Apply the Power Rule

: [\frac{12}{13} x^{\frac{13}{12}}]_{0}^{1}

= 12 [\frac{12}{13} x^{\frac{13}{12}}]_{0}^{1}

Compute the boundaries:

\frac{12}{13}

= 12 \cdot \frac{12}{13}

Simplify

= \frac{144}{13}

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What is the integral from 0 to 1 of 12\sqrt[12]{x} ?
The integral from 0 to 1 of 12\sqrt[12]{x} is 144/13