What is the integral from 1 to 2 of 4/(x^5) ?

The integral from 1 to 2 of 4/(x^5) is 15/16

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integral from 1 to 2 of 4/(x^5)

\int_{1}^{2} \frac{4}{x ^{5}} d x

\frac{15}{16}

Decimal Notation

0.9375

Solution steps

\int_{1}^{2} \frac{4}{x ^{5}} d x

Take the constant out:

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

= 4 \cdot \int_{1}^{2} \frac{1}{x ^{5}} d x

Apply the Power Rule

: [- \frac{1}{4 x ^{4}}]_{1}^{2}

= 4 [- \frac{1}{4 x ^{4}}]_{1}^{2}

Compute the boundaries:

\frac{15}{64}

= 4 \cdot \frac{15}{64}

Simplify

= \frac{15}{16}

\int_{0}^{5} x^{2} + 2 x - 15 d x

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What is the integral from 1 to 2 of 4/(x^5) ?
The integral from 1 to 2 of 4/(x^5) is 15/16