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If f(x) satifies of conditiohns of Rolle...

If f(x) satifies of conditiohns of Rolle's theorem in [1,2] and f(x) is continuous in [1,2] then `:.underset(1)overset(2)intf'(x)dx` is equal to

A

3

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`int _ 1 ^ 2 f ' ( x ) dx = [f ( x ) ] _ 1 ^ 2 = f ( 2 ) - f ( 1 ) = 0 `
` because f ( x ) ` satisfies the condition of Rolle's theorem.
` therefore f ( 2 ) = f (1 ) `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 15-PAPER 2 (MATHEMATICS)
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