What is the integral from 0 to 1 of x^{-3/2} ?

The integral from 0 to 1 of x^{-3/2} is diverges

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integral from 0 to 1 of x^{-3/2}

\int_{0}^{1} x^{- \frac{3}{2}} d x

diverges

Solution steps

\int_{0}^{1} x^{- \frac{3}{2}} d x

Apply the Power Rule

: [- \frac{2}{x ^{\frac{1}{2}}}]_{0}^{1}

= [- \frac{2}{x ^{\frac{1}{2}}}]_{0}^{1}

Compute the boundaries:

diverges

= diverges

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\int_{1}^{2} x 1 + x^{2} d x

What is the integral from 0 to 1 of x^{-3/2} ?
The integral from 0 to 1 of x^{-3/2} is diverges