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

The integral from-2 to-1 of 2x^{-4} is 7/12

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

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

\frac{7}{12}

Decimal

0.58333 \dots

Solution steps

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

Apply the Power Rule

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

Compute the boundaries:

\frac{7}{24}

= 2 \cdot \frac{7}{24}

Simplify

= \frac{7}{12}

What is the integral from-2 to-1 of 2x^{-4} ?
The integral from-2 to-1 of 2x^{-4} is 7/12