What is the integral of (ln(x))/(xsqrt(x)) ?

The integral of (ln(x))/(xsqrt(x)) is -(2ln(x))/(sqrt(x))-4/(sqrt(x))+C

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integral of (ln(x))/(xsqrt(x))

\int \frac{ln ( x )}{x x} d x

- \frac{2 ln ( x )}{x} - \frac{4}{x} + C

Solution steps

\int \frac{ln ( x )}{x x} d x

Apply Integration By Parts

: - \frac{2 ln ( x )}{x} - \int - \frac{2}{x x} d x

= - \frac{2 ln ( x )}{x} - \int - \frac{2}{x x} d x

\int - \frac{2}{x x} d x = \frac{4}{x}

= - \frac{2 ln ( x )}{x} - \frac{4}{x}

Add a constant to the solution

= - \frac{2 ln ( x )}{x} - \frac{4}{x} + C

n = 1 \sum \infty \frac{1}{( n ( n + 2 ) )}

\int (\frac{1}{x ^{- 0.1}}) d x

y^{^{'}} = (x + y - 1)^{2}

\frac{\partial}{\partial x} (2 x y + 5 y^{2})

(arctan (9 x))^{2}

What is the integral of (ln(x))/(xsqrt(x)) ?
The integral of (ln(x))/(xsqrt(x)) is -(2ln(x))/(sqrt(x))-4/(sqrt(x))+C