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Math Help - Integration

  1. #1
    Member kjchauhan's Avatar
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    Integration

    Please help me to solve the integral:::

    \int^{4}_{0} \log(1+\tan x)dx

    thanks in advance..
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  2. #2
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    skeeter's Avatar
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    Quote Originally Posted by kjchauhan View Post
    Please help me to solve the integral:::

    \int^{4}_{0} \log(1+\tan x)dx

    thanks in advance..
    note that y = \log(1+\tan{x}) has an infinite discontinuity between x = 0 and x = 4, specifically, at x = \dfrac{\pi}{2}, making it improper.

    do you think it converges?
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  3. #3
    Member kjchauhan's Avatar
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    You are right, it is not, but this is printed in book, so i confused.
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