What is the integral from 1 to 10 of (25)/(x^3) ?

The integral from 1 to 10 of (25)/(x^3) is 99/8

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integral from 1 to 10 of (25)/(x^3)

\int_{1}^{10} \frac{25}{x ^{3}} d x

\frac{99}{8}

Decimal Notation

12.375

Solution steps

\int_{1}^{10} \frac{25}{x ^{3}} d x

Take the constant out:

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

= 25 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{10}

= 25 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 25 \cdot \frac{99}{200}

Simplify

= \frac{99}{8}

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What is the integral from 1 to 10 of (25)/(x^3) ?
The integral from 1 to 10 of (25)/(x^3) is 99/8