What is the integral from 0 to 1 of x^{-4} ?

The integral from 0 to 1 of x^{-4} is diverges

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integral from 0 to 1 of x^{-4}

\int_{0}^{1} x^{- 4} d x

diverges

Solution steps

\int_{0}^{1} x^{- 4} d x

Apply the Power Rule

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

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

Compute the boundaries:

diverges

= diverges

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\int_{0}^{1} 2 x e^{- 2 x} d x

What is the integral from 0 to 1 of x^{-4} ?
The integral from 0 to 1 of x^{-4} is diverges