SOLUTION: ∫(ln(x))/(√(x))

Algebra ->  Equations -> SOLUTION: ∫(ln(x))/(√(x))      Log On


   

Question 363520: ∫(ln(x))/(√(x))
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Integrate by parts,
int%28u%2Cdv%29=uv-int%28v%2Cdu%29
.
.
u=ln%28x%29, dv=dx%2Fsqrt%28x%29
du=dx%2Fx, v=2sqrt%28x%29
.
.
Substituting,
.
.

.
.

.
.
int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Aln%28x%29%2Asqrt%28x%29-4%2Asqrt%28x%29%2BC
.
.
highlight%28int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Asqrt%28x%29%28ln%28x%29-2%29%2BC%29