Mathematics
11 Online
OpenStudy (yuki):
can someone help me out with this problem
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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)
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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
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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
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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):
:)