Last time we had integrations of Hyperbolic functions.
Today we are solving more involving inverse functions.
1: Integral from 0 to pi/2 of sin x dx/(1 + cos² x)^(1/2)
Let w = sinh^(-1) y = ln( y + (y² + 1)^(1/2) )
dw/dy = 1 / ( 1 + y² )^(1/2)
Let y = — cos x