Integrate the following functions w.r.t.x `cosx/sqrt(4-sin^2x)`

Explanation

Put t = sinx. Then dt = cosx dx
therefore `int cosx/sqrt(4-sin^2x) dx = int (dt)/sqrt(4-t^2)`
=`int dt/sqrt(2^2 -t^2) = sin^-1(t/2) +c`
=`sin^-1(sinx/2) +c`