A biquadratic `f(x)` has a local max/min at `x = 1,2 and 3. f(-1)=0.` If `int_-2^2 f(x)dx=(-1348)/15.` Then `f(x)=`

Let f(x)=x^(3)+ax^(2)+bx+c , where a, b, c are real numbers. If f(x) has a local minimum at x = 1 and a local maximum at x=-1/3 and f(2)=0 , then int_(-1)^(1) f(x) dx equals-

If f(x)+int{f(x)}^(-2)dx=0 and f(1)=0 then f(x) is

Let f(x) be a cubic polynomial such that it has maxima at x=-1 , min at x=1 , int_-1^1 f(x)dx=18 , f(2)=10 then find the sum of coff. of f(x)

if f(x)=|x-1| then int_(0)^(2)f(x)dx is

if f(x)=|x-1| then int_(0)^(2)f(x)dx is

If f(x)=f(2-x) then int_(0. 5)^1.5 xf(x)dx=

f(x) is cubic polynomial with f(x)=18 and f(1)=-1. Also f(x) has local maxima at x=-1 and f'(x) has local minima at x=0, then the distance between (-1,2) and (af(a)), where x=a is the point of local minima is 2sqrt(5)f(x) has local increasing for x in[1,2sqrt(5)]f(x) has local minima at x=1 the value of f(0)=15

f(x) is cubic polynomial with f(x)=18 and f(1)=-1 . Also f(x) has local maxima at x=-1 and f^(prime)(x) has local minima at x=0 , then (A) the distance between (-1,2)a n d(af(a)), where x=a is the point of local minima is 2sqrt(5) (B) f(x) is increasing for x in [1,2sqrt(5]) (C) f(x) has local minima at x=1 (D)the value of f(0)=15

If f(a-x)=f(x) and int_(0)^(a//2)f(x)dx=p , then : int_(0)^(a)f(x)dx=