If `int(lnx)/(x^(3))dx=-(lnx)/(ax^(2))-(1)/(bx^(2))+c` then the value of a+b must be _______

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If lim_(xto0) (1+ax+bx^(2))^(2//x)=e^(3) , then find the values of a and b.

If int(dx)/(x^(2)+ax+1)=f(g(x))+c, then

If I=int2/x(x^("lnx"))(nx)^(3)dx=Ax^("lnx"^(2))-Bx^("lnx")+C , then A/B is equal to:

int(e^(x)(x-1)(x-lnx))/(x^(2))dx is equal to

If the integral int(lnx)/(x^(3))dx=(f(x))/(4x^(2))+C , where f(e )=-3 and C is the constant of integration, then the value of f(e^(2)) is equal to

int(dx)/(ax^(2)+bx+c)=k_(1)tan^(-1)(x+A)/(B)+C if

If lim_(x to 1) (1 + ax + bx^(2))^((c )/(x - 1)) = e^(3) , then the value of a + b + bc + 2009 is…….

If int(3x ^(3)-17)e^(2x)dx={Ax^(3)+Bx^(2)+Cx+D}e^(2x)+k then

If int_(0)^(1)(ax+b)/(x^(2)+3x+2)dx=ln.(3)/(2) , then