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Integrating trig function Watch

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    Hey guys, is it possible to do

     \int sin^n^-^2 (x)  dx = \frac{sin^n^-^1(x)}{(n-1)cos (x)}

    This is from a reduction formula question, but I was wondering if the above is correct, as I thought it was a reverse chain rule. Thanks!
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    if you differentiate the RHS you should get the LHS under the integral

    ... you should also have +c on the RHS*
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    (Original post by dyuunn)
    Hey guys, is it possible to do

     \int sin^n^-^2 (x)  dx = \frac{sin^n^-^1(x)}{(n-1)cos (x)}

    This is from a reduction formula question, but I was wondering if the above is correct, as I thought it was a reverse chain rule. Thanks!
    No, it's not correct. Either your "reverse chain rule" definition is wrong (which is sadly common, unfortunately), or you are using it wrong.

    Edit: to be clear, you can't do this using a reverse chain rule (you may use it during the reduction formula approach, but it's a different order of complexity).
 
 
 
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