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Popular >

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

= \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

Popular Examples

integral of (x^2+2x)ln(x)

\int (x^{2} + 2 x) ln (x) d x

integral of (3x-2)/(x-1)

\int \frac{3 x - 2}{x - 1} d x

integral of (20)/((x+2)^2)

\int \frac{20}{( x + 2 ) ^{2}} d x

integral of 1/(sqrt(3x^2-3x+7))

\int \frac{1}{3 x ^{2} - 3 x + 7} d x

integral of 4-x^2 integral

4 - x^{2}

Frequently Asked Questions (FAQ)

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