What is the integral from 30 to 150 of (75)/(2x^2) ?

The integral from 30 to 150 of (75)/(2x^2) is 1

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integral from 30 to 150 of (75)/(2x^2)

\int_{30}^{150} \frac{75}{2 x ^{2}} d x

1

Solution steps

\int_{30}^{150} \frac{75}{2 x ^{2}} d x

Take the constant out:

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

= \frac{75}{2} \cdot \int_{30}^{150} \frac{1}{x ^{2}} d x

Apply the Power Rule

= \frac{75}{2} [- \frac{1}{x}]_{30}^{150}

Compute the boundaries:

\frac{2}{75}

= \frac{75}{2} \cdot \frac{2}{75}

Simplify

= 1

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What is the integral from 30 to 150 of (75)/(2x^2) ?
The integral from 30 to 150 of (75)/(2x^2) is 1