- #1
Justabeginner
- 309
- 1
Homework Statement
Evaluate the integral: ∫ [itex] x^{m}* (ln(x))^{2} [/itex] It's said as ln squared x. Sorry if I miswrote it.
Homework Equations
∫udv= uv - ∫vdu
The Attempt at a Solution
u= (ln(x)^2)
v= x^{m+1}/(m+1)
du= 2lnx/(x)
dv= x^{m} * dx
- ∫2lnx * (x^{m+1})/(x*(m+1)) + [(ln(x)^{2}) (x^{m+1})/(m+1)}
-(x^{m+1})/(m+1) * ∫ 2lnx/(x) + (ln(x)^{2})
I am stuck here. I feel like I'm not doing this right, and I'm sure I'm not. Can I get some guidance as to if I'm even doing this right? Thank you so much.