What is the integral from 0 to 1 of 1/(xsqrt(x)) ?

The integral from 0 to 1 of 1/(xsqrt(x)) is diverges

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integral from 0 to 1 of 1/(xsqrt(x))

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

diverges

Solution steps

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

Simplify

x x : x^{\frac{3}{2}}

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

Apply the Power Rule

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

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

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to 1 of 1/(xsqrt(x)) ?
The integral from 0 to 1 of 1/(xsqrt(x)) is diverges