`inte^(3x^4+6x^3)(2x^3+3x^2)dx=?`

int_2^4 (6x^2-1)/sqrt(2x^3-x-2)dx

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

int (3x^2+6) dx

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

int(1+4x+6x^(2)+4x^(3)+x^(4))dx=

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

int(3x^(2)-6x+4)cos(x^(3)-3x^(2)+4x-2)dx

int(3x^(2)-6x+4)cot(x^(3)-3x^(2)+4x-2)dx

int(3x^(2)-6x+4)sin(x^(3)-3x^(2)+4x-2)dx

If int(x^(9)+x^(6)+x^(3))(2x^(6)+3x^(3)+6)^(1//3)dx=a(2x^(9)+3x^(6)+6x^(3))^(4//3)+c then the value of 48a must be _______