∫(0,2)1/(x-1)^2 dx 判断收敛性,如果收敛,求出其积分值

∫[dx/(e^x(1+e^2x)]dx ∫(x-1)^2dx, ∫x^1/2dx ∫(0 1)x(arctanx)^2dx ∫1/x^2+x+1dx ∫1/(x^2+x+1)dx ∫dx/x^2(1-x^2) ∫dx/x^2(1+x^2) ∫X^2/1-x^2 dx. ∫X^2/1-x^2 dx. ∫ (x+arctanx)/(1+x^2) dx ∫（x^2+1/x^4)dx ∫2 -1|x²-x|dx ∫x^2/1+X dx. ∫ xe^x/(1+x)^2 dx ∫dx/[(1-x)x^2] ∫ x/(1+X^2)dx= ∫(2x)/(1+x²)dx