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Math Help - antiderivative of (1 e^tanx) sec^2 x dx

  1. #1
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    Post antiderivative of (1 e^tanx) sec^2 x dx

    (from 0 to pi/4) (1 e^tanx) sec^2 x dx

    i thought to use u subsitution:
    u=tanx
    du=secx dx
    so that:
    (from 0 to pi/4)(1+e^u) du
    but then i'm confused
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  2. #2
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    when doing a substitution, you need to change the bounds, besides you're on the right track, so now split that sum into two integrals, which you should know how to solve since they're immediate.
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    when doing a substitution, you need to change the bounds, besides you're on the right track, so now split that sum into two integrals, which you should know how to solve since they're immediate.
    how do i split the sum into two integrals?
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