What is the integral from 1 to 7 of 6/(x^4) ?

The integral from 1 to 7 of 6/(x^4) is 684/343

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integral from 1 to 7 of 6/(x^4)

\int_{1}^{7} \frac{6}{x ^{4}} d x

\frac{684}{343}

Solution steps

\int_{1}^{7} \frac{6}{x ^{4}} d x

Take the constant out:

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

= 6 \cdot \int_{1}^{7} \frac{1}{x ^{4}} d x

Apply the Power Rule

: [- \frac{1}{3 x ^{3}}]_{1}^{7}

= 6 [- \frac{1}{3 x ^{3}}]_{1}^{7}

Compute the boundaries:

\frac{114}{343}

= 6 \cdot \frac{114}{343}

Simplify

= \frac{684}{343}

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What is the integral from 1 to 7 of 6/(x^4) ?
The integral from 1 to 7 of 6/(x^4) is 684/343