# Integral of Tricky Function

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:

$\int {\frac{\sin t}{t}} \, dt$

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 $(0,\frac{3\pi}{2})$ of the following function:

$f(x) = \int_{x}^{2x} \frac{sin t}{t} \ dt$