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Math Help - Double integration

  1. #1
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    Double integration

    Need some help soving this double integral:

    integral sign (0 to 1) integral sign (tan^-1(y) to pi/4) secx dxdy.

    Please bear with my notation.
    Help will be appreciated.
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  2. #2
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    Re: Double integration

    Hey mrmaaza123.

    In this forum you should be able to evaluate the dx limits first then then the dy limits after.

    Try doing that by integrating sec(x)dx with the appropriate limits and show us what you got.
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  3. #3
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    Re: Double integration

    Well i actually did get that far, and got
    integral sign (0 to 1) ln(sqrt2 +1)+ln((sec(tan)^-1(y)) +y) dy
    then i used the identity (tan(x))^2+1 = (sec(x))^2 to get ,

    integral sign (0 to 1) ln(sqrt2+1) - ln(sqrt(y^2+1) +y) dy

    this is where i got stuck. Do i proceed using by parts ?
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  4. #4
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    Re: Double integration

    I'd give parts a go and see what you get by setting dv = 1 and u = ln(sqrt(y^2 + 1) + y). You should get rid of the logarithm and the rest will be simpler.
    Thanks from mrmaaza123
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