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

The integral from 0 to a of x^{-4/3} is diverges

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

\int_{0}^{a} x^{- \frac{4}{3}} d x

diverges

Solution steps

\int_{0}^{a} x^{- \frac{4}{3}} d x

Apply the Power Rule

: [- \frac{3}{x ^{\frac{1}{3}}}]_{0}^{a}

= [- \frac{3}{x ^{\frac{1}{3}}}]_{0}^{a}

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to a of x^{-4/3} ?
The integral from 0 to a of x^{-4/3} is diverges