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Integral of (Tanx)^(1/2)

  1. Nov 18, 2014 #1
    • New member warned about not including an effort
    1. The problem statement, all variables and given/known data
    hey guys.
    im from Iran and i cant speak En professionally.
    I have a question about integral and it is integral of (Tanx)^(1/2).
    my calculation took several hours but I did not have any progres in the calculation.
    Would someone help me to solve this math problem?
    2. Relevant equations
    3. The attempt at a solution
    integral of (Tanx)^(1/2)
  2. jcsd
  3. Nov 18, 2014 #2

    Can you maybe specify your domain of integration and also show some of the work you have already done.
  4. Nov 18, 2014 #3


    Staff: Mentor

    Try setting u=sqrt(tan x) and integrating with respect to u
  5. Nov 18, 2014 #4
    can u explain how to solve the problem after setting u=tanx and du=(1+tanx^2)du?
  6. Nov 18, 2014 #5


    Staff: Mentor

    No I said try u=sqrt(tan x) so that u^2 = tan x

    Can you show some work? we don't know what you've tried and we don't know your level of understanding.
  7. Nov 18, 2014 #6
    and after u^2=tan x as usual Distinguish from Equality?
    and by it can i solve this problem?
  8. Nov 18, 2014 #7


    User Avatar
    Science Advisor
    Homework Helper

    This integral is horrendously tedious. It might help to know that [itex] x^4 + 1 = (x^2+1)^2- (x\sqrt{2})^2 [/itex]
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