What is the integral of (ln(y))/(sqrt(y)) ?

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

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integral of (ln(y))/(sqrt(y))

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

2 y ln (y) - 4 y + C

Solution steps

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

Apply Integration By Parts

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

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

\int \frac{2}{y} d y = 4 y

= 2 y ln (y) - 4 y

Add a constant to the solution

= 2 y ln (y) - 4 y + C

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