`int((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))dx`

int(x)/((x-1)(x-2)(x-3))dx

int(2x+1)/((x+2)(x-3))dx

int((x+1)(2x-3))/(x) dx

Find int ((x-1)/ ((x-2)(x-3))) dx

(1) int(2x+3)/((x-1)(x-2))dx

(1) int(2x+3)/((x-1)(x-2))dx

int(3x+1)/(2x^(2)+x-1)dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

int(x^(3)-x^(2)+x-1)/(x-1)dx

For integral int f(x- a/x)*(1+a/x^(2))dx , put x-a/x=t For integral int f(x+a/x)*(1-(a)/(x^(2)))dx , put x+a/x =t For integral int f(x^(2)-(a)/(x^(2)))*(x+(a)/(x^(3)))dx , put x^(2)-(a)/(x^(2))=t For integral int f(x^(2)+(a)/(x^(2)))*(x-(a)/(x^(3)))dx , put x^(2)+(a)/(x^(2))=t many integrands can be brought into above forms by suitable reductions or transformations . int((x-1))/((x+1)sqrt(x^(3)+x^(2)+x))dx