What is the integral from 100 to 200 of c/(x^2) ?

The integral from 100 to 200 of c/(x^2) is c/(200)

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integral from 100 to 200 of c/(x^2)

\int_{100}^{200} \frac{c}{x ^{2}} d x

\frac{c}{200}

Solution steps

\int_{100}^{200} \frac{c}{x ^{2}} d x

Take the constant out:

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

= c \cdot \int_{100}^{200} \frac{1}{x ^{2}} d x

Apply the Power Rule

: [- \frac{1}{x}]_{100}^{200}

= c [- \frac{1}{x}]_{100}^{200}

Compute the boundaries:

\frac{1}{200}

= c \frac{1}{200}

Simplify

= \frac{c}{200}

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What is the integral from 100 to 200 of c/(x^2) ?
The integral from 100 to 200 of c/(x^2) is c/(200)