1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    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

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    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

    User Avatar
    Staff Emeritus
    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Integral (d/dx)∫from(x^(1/2)) to x^2 of tan(9t) dt
Loading...