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Homework Help: Integral (d/dx)∫from(x^(1/2)) to x^2 of tan(9t) dt

  1. Dec 5, 2012 #1
    1. The problem statement, all variables and given/known data
    (d/dx)∫from(x^(1/2)) to x^2 of tan(9t) dt



    2. Relevant equations



    3. The attempt at a solution

    2x((tan(9x^2))-(tan(x^(1/2)))

    I am not sure what I am doing wrong here.
     
    Last edited by a moderator: Feb 6, 2013
  2. jcsd
  3. Dec 5, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    Re: Integral

    You are using the fundamental theorem of calculus here, right? Can you explain how you got that? There's a few parts of right things in there. But overall, it's a mess.
     
    Last edited by a moderator: Dec 5, 2012
  4. Dec 5, 2012 #3
    Re: Integral

    Your post is very hard to read. Please consider typing up your equations with LaTeX. Here is a short guide: https://www.physicsforums.com/showpost.php?p=3977517&postcount=3 It would really help us a lot.
     
  5. Dec 5, 2012 #4

    Mark44

    Staff: Mentor

    Re: Integral

    Also, there is no such word as "intergral" in English. I am editing your title.
     
  6. Dec 6, 2012 #5

    HallsofIvy

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    Science Advisor

    Re: Integral

    I would write the original function as
    [tex]\int_{x^{1/2}}^{x^2} tan(9t)dt= \int_{x^{1/2}}^a tan(9t)dt+ \int_a^{x^2} tan(9t) dt[/tex]
    [tex]= \int_a^{x^2} tan(9t)dt- \int_a^{x^{1/2}} tan(9t)dt[/tex]

    NOW use the Fundamental Theorem of Calculus. It looks to me like you forgot the derivative of the "[itex]x^{1/2}[/itex]" term.
     
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