What is the integral from 1 to 6 of 2x^{-4} ?

The integral from 1 to 6 of 2x^{-4} is 215/324

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integral from 1 to 6 of 2x^{-4}

\int_{1}^{6} 2 x^{- 4} d x

\frac{215}{324}

Decimal

0.66358 \dots

Solution steps

\int_{1}^{6} 2 x^{- 4} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{1}^{6} x^{- 4} d x

Apply the Power Rule

: [- \frac{1}{3 x ^{3}}]_{1}^{6}

= 2 [- \frac{1}{3 x ^{3}}]_{1}^{6}

Compute the boundaries:

\frac{215}{648}

= 2 \cdot \frac{215}{648}

Simplify

= \frac{215}{324}

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What is the integral from 1 to 6 of 2x^{-4} ?
The integral from 1 to 6 of 2x^{-4} is 215/324