Chapter 11.12, Problem 9P

In Problems 4 to 13, identify each of the integrals as an elliptic integral (see Examples 1 and 2 ). Learn the notation of your computer program (see Problem 3 ) and then evaluate the integral by computer.

${\displaystyle {\int }_{-1/2}^{1/2}\frac{dt}{\sqrt{1-t^2}\sqrt{4-3t^2}}}$.