Home
Class 12
MATHS
If int(f(x))/(x^(3)-1)dx, where f(x) is ...

If `int(f(x))/(x^(3)-1)dx`, where `f(x)` is a polynomial of degree 2 in x such that `f(0)=f(1)=3f(2)=-3` and `int(f(x))/(x^(3)-1)dx=-log|x-1|+log|x^(2)+x+1|+(m)/(sqrt(n))tan^(-1)((2x+1)/(sqrt(3)))+C`. Then `(2m+n)` is

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MOTION|Exercise ELEMENTARY EXERCISE|41 Videos
  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - A STANDARD INTEGRAL)|8 Videos
  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate: intf(x)/(x^3-1)dx , where f(x) is a polynomial of degree 2 in x such that f(0)=f(1)=3f(2)=-3

If f(x) is a polynomial of degree 2, such that f(0)=3,f'(0)=-7,f''(0)=8 int_(1)^(2)f(x)dx=

If int(tan^(9)x)dx=f(x)+log|cosx|, where f(x) is a polynomial of degree n in tan x, then the value of n is

If int(1)/(f(x))dx=log[f(x)]^(2)+c , then f(x)=

int_(0)^(3)f(x)dx, where f(x)=|x|+|x-1|+|x-2|

f(x) = int(x^(2)+x+1)/(x+1+sqrt(x))dx , then f(1) =

If f(x)=int 2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2)))dx , then f is

Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the equation f(x)-f(3x)+f(5x)+….+f((2m -1) has