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

Evaluate int (3x)/(4x+1)dx

Evaluate int (1-3x)/(4x^2-9)dx

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

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

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

Evaluate: int(x^(2)/(x^(4)+3x^(2)+9))dx =Atan^(-1)((x^2-3)/(3x))+B/sqrt(3)"ln"|(x^(2)-sqrt(3)x+3)/(x^(2)+sqrt(3)x+3)|+c , Then find the value of 12(A+B) .

Evaluate I=int (2+3x)/(3-4x)dx

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

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

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