What is the integral of (ln(x+1))/(sqrt(x+1)) ?

The integral of (ln(x+1))/(sqrt(x+1)) is 2ln(x+1)sqrt(x+1)-4sqrt(x+1)+C

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integral of (ln(x+1))/(sqrt(x+1))

\int \frac{ln ( x + 1 )}{x + 1} d x

2 ln (x + 1) x + 1 - 4 x + 1 + C

Solution steps

\int \frac{ln ( x + 1 )}{x + 1} d x

Apply Integration By Parts

= 2 ln (x + 1) x + 1 - \int \frac{2}{x + 1} d x

\int \frac{2}{x + 1} d x = 4 x + 1

= 2 ln (x + 1) x + 1 - 4 x + 1

Add a constant to the solution

= 2 ln (x + 1) x + 1 - 4 x + 1 + C

What is the integral of (ln(x+1))/(sqrt(x+1)) ?
The integral of (ln(x+1))/(sqrt(x+1)) is 2ln(x+1)sqrt(x+1)-4sqrt(x+1)+C