What is the integral from 0 to 60 of x^{3/4} ?

The integral from 0 to 60 of x^{3/4} is (240*60^{3/4})/7

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integral from 0 to 60 of x^{3/4}

\int_{0}^{60} x^{\frac{3}{4}} d x

\frac{240 \cdot 6 0 ^{\frac{3}{4}}}{7}

Decimal

739.13988 \dots

Solution steps

\int_{0}^{60} x^{\frac{3}{4}} d x

Apply the Power Rule

: [\frac{4}{7} x^{\frac{7}{4}}]_{0}^{60}

= [\frac{4}{7} x^{\frac{7}{4}}]_{0}^{60}

Compute the boundaries:

\frac{240 \cdot 6 0 ^{\frac{3}{4}}}{7}

= \frac{240 \cdot 6 0 ^{\frac{3}{4}}}{7}

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What is the integral from 0 to 60 of x^{3/4} ?
The integral from 0 to 60 of x^{3/4} is (240*60^{3/4})/7