Hi. I have the following code that I want to integrate and differentiate, but I am stuck at the expression of M, where it is unable to integrate. Is my coding wrong?
c,t = var('c t')
Pi = RR.pi()
G=integrate(sqrt(1-t^2)*(t+c),t,-0.9,0.9);G
H=G.diff(c);H
L=integrate(-(t+c)/(sqrt(1-t^2)),t,-0.9,0.9);L
M=integrate(1/(sqrt(1-t^2)*(t-c)),t,-0.9,0.9);M #cannot seem to integrate this wrt to t
I=(c^2-1)*(L+(1-c^2)*M);I #equation I that involves M
P=I.diff(c);P #differentiate I wrt to c to obtain equation P
I have tried integrating M by hand which gives me a closed-form involving log function, but I can't seem to integrate it here using Sage.
