Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Integral of Tricky Function

  1. Apr 21, 2016 #1
    Hi, everyone.

    I was working on a calculus question related to the math subject GRE and I was wondering if it's possible to evaulate this indefinite integral:

    [itex]\int {\frac{\sin t}{t}} \, dt [/itex]

    The actual question involves Leibniz's rule of differentiating integrals and didn't think of it at the time I worked on it. The main gist of it was finding the local maximum on the interval [itex] (0,\frac{3\pi}{2}) [/itex] of the following function:

    [itex] f(x) = \int_{x}^{2x} \frac{sin t}{t} \ dt [/itex]
     
  2. jcsd
  3. Apr 21, 2016 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    It's not clear from your post whether you realise it is quite unnecessary to solve the integral in order to answer that local max question.
     
  4. Apr 21, 2016 #3
    I do realize that I didn't need to solve the integral to find the local max. I was just wondering if the general integral stated first is possible to evaluate.
     
  5. Apr 21, 2016 #4

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Integral of Tricky Function
  1. Integration Trickiness (Replies: 6)

  2. Tricky integral (Replies: 3)

  3. Tricky integral ? (Replies: 10)

  4. A tricky integral (Replies: 1)

  5. Tricky Integral (Replies: 2)

Loading...