Question

Let f(x) = x³ + ax² + 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 ∫ f(x)dx, x∈[-1,1] equals- 

(A) 14/3

(B) -14/3

(C) 7/3

(D) -7/3 

Answer 1

Correct Option :- (B) -14/3

Explanation :-