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

The integral from 4 to 6 of 6/(x^4) is 19/864

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

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

\frac{19}{864}

Decimal Notation

0.02199 \dots

Solution steps

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

Apply the Power Rule

: [- \frac{1}{3 x ^{3}}]_{4}^{6}

= 6 [- \frac{1}{3 x ^{3}}]_{4}^{6}

Compute the boundaries:

\frac{19}{5184}

= 6 \cdot \frac{19}{5184}

Simplify

= \frac{19}{864}

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What is the integral from 4 to 6 of 6/(x^4) ?
The integral from 4 to 6 of 6/(x^4) is 19/864