If `int x^(3) (ln x)^(2) dx=x^(4)/32 (a(ln x)^(2) +b(ln x) +c)+d` , where 'd' is the constant of integration,then `a+b+c` is equal to
(A) 13
(B) 11
(C) 5
(D) 8

The value of int(ln(cotx))/(sin2x)dx is equal to (where, C is the constant of integration)

If int(dx)/((x+1)^(2)(x^(2)+2x+2))=(A)/(x+1)+B tan^(-1)(x+1)+C, where A and B are constants and C is the constant of integration, then |A-B| is equal to

The integral I=int((1)/(x.secx)-ln(x^(sinx))dx simplifies to (where, c is the constant of integration)

If I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (where, c is the constant of integration) and f(0)=g(0)=1 ,then the value of f(1).g(1) is equal to

If int(dx)/(x^(2)+x)=ln|f(x)|+C (where C is the constant of integration), then the range of y=f(x), AA x in R-{-1, 0} is

If the integral I=int(dx)/(x^(10)+x)=lambda ln ((x^(9))/(1+x^(mu)))+C , (where, C is the constant of integration) then the value of (1)/(lambda)+mu is equal to

If =int(tan^(5)dx=Atan^(4)x-1/2tan^(2)x+B"ln"|secx|+C) then

int (dx)/((x+1)(x-2))=A log (x+1)+B log (x-2)+C , where

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16