∫x/(3-2x^2)dx与∫x/(1-x^2)^1/2dx的解题详细过程,

Question

∫x/(3-2x^2)dx与∫x/(1-x^2)^1/2dx的解题详细过程,

Answer 1

∫ x/(3-2x^2)dx=(1/2)∫ 1/(3-2x^2)d(x^2)=-1/4*ln(-3+2*x^2)+C
∫x/(1-x^2)^1/2dx=(1/2)∫1/(1-x^2)^1/2d(x^2)=(1-x^2)^1/2+C