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Math Help - Reduction formulae......again.

  1. #1
    Super Member Showcase_22's Avatar
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    Reduction formulae......again.

    Just when I think I have mastered reduction formulae, the "miscellaneous exercise" happens!

    The question is:



    My working goes like this:



    I'm clearly on the right track, I just can't see what's going wrong.

    Thanks to anyone who posts!
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  2. #2
    Moo
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    Hello,

    Yup, you're on the right track
    But after the second substitution, you put a minus sign instead of + sign :

    I_n=\frac{e^\pi}4- \left[\frac n4 e^{2x} \sin^{n-1}(x) \cos(x)\right]_0^{\tfrac \pi 2} {\color{red}+} \frac{(n-1)n}{4} \dots

    Because it's -*-

    I haven't looked further, correct it and then see if it corresponds
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  3. #3
    Super Member Showcase_22's Avatar
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    thanks!

    I can't believe I didn't spot that mistake!

    I made another mistake as well later on but it's all sorted now:



    That question really was a train wreck in mathematical form.
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