Hi everyone! I was wondering if anyone here could kindly point me in the direction of how to get around solving for the derivative of $\displaystyle \int_x^{2x} 2^{t^2} \, dt$ w.r.t. $\displaystyle x$. Thank you very much in advance.

Also, I'm new here, so if I'm flouting any rules please do let me know and I will gladly make changes as necessary. Thanks again!