## yuki 5 years ago can someone help me out with this problem

1. Yuki

$\int\limits e^{\sin(x)}\cot(x) dx$

2. Yuki

u-substitution with sin(x)... ?

3. anonymous

I think this might be integration by part cyclic problem

4. anonymous

Yup definitely U substitution

5. anonymous

the derivative of sin(x) -> cos(x)

6. anonymous

I am not sure that will help though, that doesn't work

7. Yuki

so you will get $\int\limits {e^u \over u }du$ I am not sure what to do next

8. anonymous

Integration by parts

9. Yuki

oh, uv - dvu

10. anonymous

ouch beyond my abilities right now, thats calculus 2

11. Yuki

oh right let w = e^u then dw = e^udu and 1/u du = dv then ln|u| = v!

12. Yuki

hmm... but I get stuck with $\int\limits \ln(u) e^u du$

13. anonymous

Hold on, I am working this out

14. anonymous

what class is it for?

15. Yuki

mulitvariable calc

16. anonymous

I think you have to use exponential integral, I don't know much about that

17. Yuki

hm

18. Yuki

well, I just wanted to throw in something interesting

19. Yuki

:)