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

The integral from 1 to 4 of x^{-4} is 21/64

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

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

\frac{21}{64}

Decimal

0.328125

Solution steps

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

Apply the Power Rule

: [- \frac{1}{3 x ^{3}}]_{1}^{4}

= [- \frac{1}{3 x ^{3}}]_{1}^{4}

Compute the boundaries:

\frac{21}{64}

= \frac{21}{64}

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What is the integral from 1 to 4 of x^{-4} ?
The integral from 1 to 4 of x^{-4} is 21/64