`(d(2^(x)))/(d(3^(x)))=`

(d)/(dx)(3x^(2)+2x)=

If int sqrt((x)/(a^(3)-x^(3)))dx=(d)/(b)sin^(-1)((x^((3)/(2)))/(a^((3)/(2))))+C (where b&d are coprime integer) then b+d equals to.

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(d)=y b.(y)/(3) c.(y)/(9) d.(y)/(27)

If x^(2)+3x+2,"then "(d^(2)y)/(dx^(2))= ____________ .

If (x^(3)+x^(2)+1)/((x^(2)+2)(x^(2)+3))=(Ax+B)/(x^(2)+2)+(Cx+D)/(x^(2)+3) , then A+B+C+D=

"I f"intsqrt(x/(a^3-x^3))dx=d/bsin^(- 1)((x^(3/2))/(a^(3/2)))+C (where b & d are coprime integer) then b + d equals to.

If (x^(3))/((x-1)(x-2))=Ax+B+(C )/(x-1)+(D)/(x-2) , then A,B,C and D , respectively are ____________.