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Math Help - Double integral question (inc. changing the order of integration)

  1. #1
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    Double integral question (inc. changing the order of integration)

    It's not actually the double integration part I'm having trouble with. The question is:



    I managed to get it down to this:



    but I'm not sure how to take it any further. I'm not even sure that is correct. I tried some substitutions and integrating by parts but didn't get anywhere (apparently) useful. Could anyone help?
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  2. #2
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    Hello, but is that first you have to integrate with respect to y, this integral is the inverse of sin, evaluate and then integrate with respect to x.

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  3. #3
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    Because the question asked to sketch the region and change the order, I did that first so that you have to integrate with respect to x first. I did that, and ended up with the expression seen in the 2nd picture I posted and can't take that any further haha

    I think substitution seems like a sensible step forward, but like I said I couldn't get it to work

    Thanks for replying,

    Mick
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