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

A

3

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1) , ,then the value of f (n+ 1) is

If f(x)=(x-4)/(2sqrt3) , then f'(1) is equal to?

If f(x) = (x+2)/(3x-1) then f (f(x)) is

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x) .Find the domain of f(x).

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

Verify that int (2x-1)/(2x+3)dx=x-log(2x+3)^2+C

f(x) is polynomial of degree 4 with real coefficients such that f(x)=0 satisfied by x=1, 2, 3 only then f'(1) f'(2) f'(3) is equal to -

If g(x)=(f(x))/((x-a)(x-b)(x-c)), where f(x) is a polynomial of degree lt3, then prove that (dg(x))/(dx)=|{:(1,a,f(a)(x-a)^(-2)),(1,b,f(b)(x-b)^(-2)),(1,c,f(c)(x-c)^(-2)):} |divide|{:(a^(2),a,1),(b^(2),b,1),(c^(2),c,1):}|.

Let f(x) be a polynomial of degree four having extreme values at x =1 and x=2. If underset(xrarr0)lim[1+(f(x))/x^2] =3, then f(2) is equal to