What is the integral of sqrt(5/x) ?

The integral of sqrt(5/x) is sqrt(5/x)x+sqrt(5)sqrt(x)+C

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integral of sqrt(5/x)

\int \frac{5}{x} d x

\frac{5}{x} x + 5 x + C

Solution steps

\int \frac{5}{x} d x

Apply Integration By Parts

: \frac{5}{x} x - \int - \frac{5}{2 x ^{\frac{1}{2}}} d x

= \frac{5}{x} x - \int - \frac{5}{2 x ^{\frac{1}{2}}} d x

\int - \frac{5}{2 x ^{\frac{1}{2}}} d x = - 5 x

= \frac{5}{x} x - (- 5 x)

Simplify

= \frac{5}{x} x + 5 x

Add a constant to the solution

= \frac{5}{x} x + 5 x + C

\frac{d}{d x} (e^{(- x^{\frac{1}{2}} + \frac{1}{5} x^{- \frac{3}{5}})})

\int \frac{1}{( x ^{2} + 100 ) ^{2}} d x

\frac{d}{d y} (- 9 sin (3 x + y z))

x \to 0 lim (\frac{cos ^{2} ( x )}{x})

\frac{\partial ^{2}}{\partial x \partial y} (ln (4 + x^{2} y^{2}))

What is the integral of sqrt(5/x) ?
The integral of sqrt(5/x) is sqrt(5/x)x+sqrt(5)sqrt(x)+C