Integral of Tricky Function

  • #1

Main Question or Discussion Point

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]
 

Answers and Replies

  • #2
haruspex
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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.
 
  • #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.
 

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