Question

integrate by parts:
∫√xln√x dx

Answer 1

= (1/2) sqrt(x) ln(x)

Answer 2

Write u' = sqrt(x) and v = ln(sqrt(x)) = 1/2 ln x

Note that v' = 1/(2x).

Now integrate by parts

Answer 3

http://www.wolframalpha.com/input/?i=integrate+sqrt%28x%29*ln%28sqrt%28x%29%29

Answer 4

i have to show work

Answer 5

and the back of the book has a way diff. answer

Answer 6

Look at the wolfram link. It can show you every single step.