What is the integral from 3 to 6 of (24)/(x^3) ?

The integral from 3 to 6 of (24)/(x^3) is 1

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integral from 3 to 6 of (24)/(x^3)

\int_{3}^{6} \frac{24}{x ^{3}} d x

1

Solution steps

\int_{3}^{6} \frac{24}{x ^{3}} d x

Take the constant out:

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

= 24 \cdot \int_{3}^{6} \frac{1}{x ^{3}} d x

Apply the Power Rule

= 24 [- \frac{1}{2 x ^{2}}]_{3}^{6}

Compute the boundaries:

\frac{1}{24}

= 24 \cdot \frac{1}{24}

Simplify

= 1

What is the integral from 3 to 6 of (24)/(x^3) ?
The integral from 3 to 6 of (24)/(x^3) is 1