Question

If f(x) satisfies the conditions of Rolle’s theorem in [1, 2] and f(x) is continuous in [1, 2] , then ∫f'(x)dx for x ∈ [1, 2]  is equal to

(A) 3 

(B) 0 

(C) 1 

(D) 2

Answer 1

Answer is (B) 0

We have

because f(x) satisfies the conditions of Rolle’s theorem. Therefore, f(2) = f(1)]).