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

The integral from 1 to 2 of (-4x^{-4}) is -7/6

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

\int_{1}^{2} (- 4 x^{- 4}) d x

- \frac{7}{6}

Decimal

- 1.16666 \dots

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= - 4 [- \frac{1}{3 x ^{3}}]_{1}^{2}

Compute the boundaries:

\frac{7}{24}

= - 4 \cdot \frac{7}{24}

Simplify

= - \frac{7}{6}

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What is the integral from 1 to 2 of (-4x^{-4}) ?
The integral from 1 to 2 of (-4x^{-4}) is -7/6