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yuki

  • 5 years ago

can someone help me out with this problem

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  1. Yuki
    • 5 years ago
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    \[\int\limits e^{\sin(x)}\cot(x) dx\]

  2. Yuki
    • 5 years ago
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    u-substitution with sin(x)... ?

  3. anonymous
    • 5 years ago
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    I think this might be integration by part cyclic problem

  4. anonymous
    • 5 years ago
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    Yup definitely U substitution

  5. anonymous
    • 5 years ago
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    the derivative of sin(x) -> cos(x)

  6. anonymous
    • 5 years ago
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    I am not sure that will help though, that doesn't work

  7. Yuki
    • 5 years ago
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    so you will get \[\int\limits {e^u \over u }du\] I am not sure what to do next

  8. anonymous
    • 5 years ago
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    Integration by parts

  9. Yuki
    • 5 years ago
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    oh, uv - dvu

  10. anonymous
    • 5 years ago
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    ouch beyond my abilities right now, thats calculus 2

  11. Yuki
    • 5 years ago
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    oh right let w = e^u then dw = e^udu and 1/u du = dv then ln|u| = v!

  12. Yuki
    • 5 years ago
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    hmm... but I get stuck with \[\int\limits \ln(u) e^u du\]

  13. anonymous
    • 5 years ago
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    Hold on, I am working this out

  14. anonymous
    • 5 years ago
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    what class is it for?

  15. Yuki
    • 5 years ago
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    mulitvariable calc

  16. anonymous
    • 5 years ago
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    I think you have to use exponential integral, I don't know much about that

  17. Yuki
    • 5 years ago
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    hm

  18. Yuki
    • 5 years ago
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    well, I just wanted to throw in something interesting

  19. Yuki
    • 5 years ago
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    :)

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