What is the integral from 1 to 3 of 1/(x^5) ?

The integral from 1 to 3 of 1/(x^5) is 20/81

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integral from 1 to 3 of 1/(x^5)

\int_{1}^{3} \frac{1}{x ^{5}} d x

\frac{20}{81}

Decimal

0.24691 \dots

Solution steps

\int_{1}^{3} \frac{1}{x ^{5}} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{20}{81}

= \frac{20}{81}

\int_{0}^{4 - y^{2} - z^{2}} 1 d x

\int_{5}^{7} \frac{1}{x - 2} d x

\int_{0}^{1} x^{3} - 1 d x

\int_{1}^{2} (\frac{x}{2} - \frac{6}{x}) d x

\int_{0}^{1} x^{2} cos (π x) d x

What is the integral from 1 to 3 of 1/(x^5) ?
The integral from 1 to 3 of 1/(x^5) is 20/81