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Mathematics 11 Online
OpenStudy (yuki):

can someone help me out with this problem

OpenStudy (yuki):

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

OpenStudy (yuki):

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

OpenStudy (anonymous):

I think this might be integration by part cyclic problem

OpenStudy (anonymous):

Yup definitely U substitution

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (yuki):

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

OpenStudy (anonymous):

Integration by parts

OpenStudy (yuki):

oh, uv - dvu

OpenStudy (anonymous):

ouch beyond my abilities right now, thats calculus 2

OpenStudy (yuki):

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

OpenStudy (yuki):

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

OpenStudy (anonymous):

Hold on, I am working this out

OpenStudy (anonymous):

what class is it for?

OpenStudy (yuki):

mulitvariable calc

OpenStudy (anonymous):

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

OpenStudy (yuki):

hm

OpenStudy (yuki):

well, I just wanted to throw in something interesting

OpenStudy (yuki):

:)

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