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Homework Help: Differentiating an integral

  1. Nov 15, 2007 #1
    1. The problem statement, all variables and given/known data

    [tex]\int_{x}^{2\,{x}^{2}+1}sin{t}^{2}dt[/tex]

    I need to take differential of that

    2. Relevant equations

    Fundamental theorem of calculus

    3. The attempt at a solution

    I know 't' is a dummy var, so I replace it with x,

    and then
    get
    sin((2x^2+1)^2)-sin(x^2)
    as answer. But I am not very sure about my answer.

    Can anyone please check my solution?

    Thanks.
     
  2. jcsd
  3. Nov 15, 2007 #2
    Look up Leibniz's Rule. After that it's just a plug and chug:

    Edit: Leibniz Rule, not Theorem
     
    Last edited: Nov 15, 2007
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