Question

f(x) satisfies the conditions of Rolle's theorem in [1, 2] and f(x) is continuous in [1, 2] then $\int_{1}^{2}{f'(x)}$dx is equal to –

• A. 3
• B. 0
• C. 1
• D. 2

Answer 1

Answer: (B)

0

Answer 2

$\int_{1}^{2}{f'(x)dx}$ = 0 Ž $\lbrack f(x)\rbrack_{1}^{2}$ = 0 Ž f(2) = f(1)

Ž Which is condition of rolle's therom.