What is the integral from 1 to 4 of x^{-5} ?

The integral from 1 to 4 of x^{-5} is 255/1024

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integral from 1 to 4 of x^{-5}

\int_{1}^{4} x^{- 5} d x

\frac{255}{1024}

Decimal

0.2490234375

Solution steps

\int_{1}^{4} x^{- 5} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{255}{1024}

= \frac{255}{1024}

\int_{- 5}^{0} y + 9 d y

\int_{3}^{6} ∣ x - 4 ∣ d x

\int_{- 6}^{3} ∣ x ∣ d x

\int_{1}^{2} (x^{2} + 2) d x

\int_{- 2}^{2} x^{3} - 2 x^{2} + 7 d x

What is the integral from 1 to 4 of x^{-5} ?
The integral from 1 to 4 of x^{-5} is 255/1024