yuki
  • yuki
can someone help me out with this problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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yuki
  • yuki
\[\int\limits e^{\sin(x)}\cot(x) dx\]
yuki
  • yuki
u-substitution with sin(x)... ?
anonymous
  • anonymous
I think this might be integration by part cyclic problem

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anonymous
  • anonymous
Yup definitely U substitution
anonymous
  • anonymous
the derivative of sin(x) -> cos(x)
anonymous
  • anonymous
I am not sure that will help though, that doesn't work
yuki
  • yuki
so you will get \[\int\limits {e^u \over u }du\] I am not sure what to do next
anonymous
  • anonymous
Integration by parts
yuki
  • yuki
oh, uv - dvu
anonymous
  • anonymous
ouch beyond my abilities right now, thats calculus 2
yuki
  • yuki
oh right let w = e^u then dw = e^udu and 1/u du = dv then ln|u| = v!
yuki
  • yuki
hmm... but I get stuck with \[\int\limits \ln(u) e^u du\]
anonymous
  • anonymous
Hold on, I am working this out
anonymous
  • anonymous
what class is it for?
yuki
  • yuki
mulitvariable calc
anonymous
  • anonymous
I think you have to use exponential integral, I don't know much about that
yuki
  • yuki
hm
yuki
  • yuki
well, I just wanted to throw in something interesting
yuki
  • yuki
:)

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