What is the integral from 1 to 3 of 1/(x^6) ?

The integral from 1 to 3 of 1/(x^6) is 242/1215

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integral from 1 to 3 of 1/(x^6)

\int_{1}^{3} \frac{1}{x ^{6}} d x

\frac{242}{1215}

Decimal

0.19917 \dots

Solution steps

\int_{1}^{3} \frac{1}{x ^{6}} d x

Apply the Power Rule

: [- \frac{1}{5 x ^{5}}]_{1}^{3}

= [- \frac{1}{5 x ^{5}}]_{1}^{3}

Compute the boundaries:

\frac{242}{1215}

= \frac{242}{1215}

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What is the integral from 1 to 3 of 1/(x^6) ?
The integral from 1 to 3 of 1/(x^6) is 242/1215