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if f(x)=int(-1)^(x)t(e^(t)-1)(t-1)(t-2)^...

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

A

1

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
`f^(')(x)=x(e^(x)-1)(x-1)(x-2)^(3)(x-3)^(5)`
By leibnitz theorem
Minima at `x=1,3`
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