What is the integral from 100 to 300 of (150)/(x^2) ?

The integral from 100 to 300 of (150)/(x^2) is 1

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integral from 100 to 300 of (150)/(x^2)

\int_{100}^{300} \frac{150}{x ^{2}} d x

1

Solution steps

\int_{100}^{300} \frac{150}{x ^{2}} d x

Take the constant out:

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

= 150 \cdot \int_{100}^{300} \frac{1}{x ^{2}} d x

Apply the Power Rule

: [- \frac{1}{x}]_{100}^{300}

= 150 [- \frac{1}{x}]_{100}^{300}

Compute the boundaries:

\frac{1}{150}

= 150 \cdot \frac{1}{150}

Simplify

= 1

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What is the integral from 100 to 300 of (150)/(x^2) ?
The integral from 100 to 300 of (150)/(x^2) is 1