if `f(x)=int_(-1)^(x)t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt `has a local minimum then sum of values of x

The function int_(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local minimum at x=

Then function f(x)=int_(-2)^(x)t(e^(t)-1)(t-2)^(3)(t-3)^(5)dt has a local minima at x=

The function f(x)=int_(-1)^(x)t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt has a local minimum at x=0(b)1(c)2(d)3

(i) If f(x) = int_(0)^(sin^(2)x)sin^(-1)sqrt(t)dt+int_(0)^(cos^(2)x)cos^(-1)sqrt(t) dt, then prove that f'(x) = 0 AA x in R . (ii) Find the value of x for which function f(x) = int_(-1)^(x) t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt has a local minimum.

The function f(x)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= a.0&1 b. 1&3 c. 0&3 d. 2 & 3

The function f(x)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= 0 (b) 1 (c) 2 (d) 3

The function f(x)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= 0 (b) 1 (c) 2 (d) 3

The function f(x)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= 0 (b) 1 (c) 2 (d) 3