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

int (x^2 - 1)/((x^3)sqrt(2x^4- 2x^2 + 1)) dx is equal to

int ((x^2 -1)dx)/((x^4 + 3x^2 + 1) tan^-1((x^2 + 1)/x)) = k logabs(tan^-1((x^2 +1)/x)) + c

int (x^(2) + x -1)/(x^(3) + x^(2) - 6x)dx

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

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

Consider int(x^(3)+3x^(2)+2x+1)/(sqrt(x^(2)+x+1))dx =(ax^(2)+bx+c)sqrt(x^(2)+x+1)+lambda int(dx)/(sqrt(x^(2)+x+1)) Now, match the following lists and then choose the correct code. Codes: {:(,a,b,c,d),((1),q,p,s,r),((2),s,p,q,r),((3),r,q,p,s),((4),q,s,p,r):}

int (x^(3)+3x^(2)+2x-7)/(2x+1)dx

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

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

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