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    • Thread Starter

    Hey there, I've been struggling with this one for quite a while.

    I need to show that:

    I(n) = integral of ((e^sinx)(cosx)(sin^n x)) dx

    comes down to I(n) = e - n I(n-1)

    The integral doesn't have any limits, but I used the substitution y=sinx and then integrated by parts. I ended up with
    I(n) = (y^n)(e^y) - n I(n-1)

    Clearly, (y^n)(e^y) doesn't equal e, so I've made a mistake. Any help would be much appreciated. Thanks

    (Original post by 4mar_ar5en4l)
    It is a typo, what you have done is correct. The limits are probably meant to be (0, pi/2)
    • Thread Starter

    (Original post by Lord of the Flies)
    It is a typo, what you have done is correct. The limits are probably meant to be (0, pi/2)
    Oh thanks

    Was starting to get a bit frustrated with that question.
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