Find `int (x^(2)+1)/{(x^(2)+2)(x^(2)+3)}dx`

find (int(2x)/(x^(2)+1)+x^(2))dx

Evaluate: int(x^(2)+(1)/(x^(2)))^(3)dx

Evaluate: int((x^(2)+1)(x^(2)+2))/((x^(2)+3)(x^(2)+4))dx

Evaluate: int((x^(2)+1)(x^(2)+4))/((x^(2)+3)(x^(2)-5))dx

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

Evaluate int((x^(2)-4))/((x^(2)+1)(x^(2)+2)(x^(2)+3))dx

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

find- int_2^3(2x)/(1+x^2)dx

Evaluate : (i) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx