find `int (x^2 +1)/((x^2 +2 ) ( x^2 +3 )) dx .`

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

Evaluate int _(2) ^(3) ( x )/( ( x +2) (x + 3)) dx

Find int _(1)^(3)(3-2x + x^(2)) dx.

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

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

Evaluate: (i) int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx , (ii) int((x^(4) +1)/(x^(2) +1))dx

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

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