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Popular Calculus >

integral of (5/x)^2

Solution

\int (\frac{5}{x})^{2} d x

Solution

- \frac{25}{x} + C

Solution steps

\int (\frac{5}{x})^{2} d x

Apply Integration By Parts

= \frac{25}{x} - \int - \frac{50}{x ^{2}} d x

\int - \frac{50}{x ^{2}} d x = \frac{50}{x}

= \frac{25}{x} - \frac{50}{x}

Simplify

\frac{25}{x} - \frac{50}{x} : - \frac{25}{x}

= - \frac{25}{x}

Add a constant to the solution

= - \frac{25}{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (5/x)^2 ?
The integral of (5/x)^2 is -(25)/x+C