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Math Help - double integral using polar coordinates

  1. #1
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    double integral using polar coordinates

    Hello,
    I have my final tomorrow and not sure how to tackle this question, another polar coordinates problem!?

    \int_{0}^{\frac{\pi}{2}}\int_{0}^{\cos \theta}e^{\sin \theta} drd\theta
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  2. #2
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    Quote Originally Posted by Robb View Post
    Hello,
    I have my final tomorrow and not sure how to tackle this question, another polar coordinates problem!?

    \int_{0}^{\frac{\pi}{2}}\int_{0}^{\cos \theta}e^{\sin \theta} drd\theta
     \int_{0}^{\frac{\pi}{2}}\int_{0}^{\cos \theta}e^{\sin \theta} \, dr \, d\theta = \int_{0}^{\frac{\pi}{2}} \left[r e^{\sin \theta}\right]_0^{\cos \theta} \, d\theta = \int_{0}^{\frac{\pi}{2}} \cos \theta \, e^{\sin \theta} \, d\theta

    and this integral is easily done using a simple substitution.
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  3. #3
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    lol.. shows you how tiried I am, not the best to be doing maths when sleep deprived. I totally missed that! thanks allot :P
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