Applications Of Derivatives Question 401
Question: If $ 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 [DCE 2002]
Options:
A) 3
B) 0
C) 1
D) 2
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_1^{2}{{f}’(x)dx=[f(x)]_1^{2}}=f(2)-f(1)=0 $ ( $ \because $ $ f(x) $ satisfies the conditions of Rolle-s theorem, \ $ f(2)=f(1)] $ ) .
BETA
