Question

根号下(1+x)/(1-x)的微积分

Answer 1

∫√(1+x)/(1-x)dx= ∫(1+x)/√(1-x²)dx

=∫(1/√(1-x²)dx-(1/2)∫1/√(1-x²)d(1-x²)

=arcsinx-2√(1-x²)