Definite Integration Question 1
Question: Area bounded by the curve $ y=\log x, $
$ x- $ axis and the ordinates $ x=1,x=2 $ is
[MP PET 2004]
Options:
A) $ \log 4 $ sq. unit
B) $ (\log 4+1) $ sq. unit
C) $ (\log 4-1) $ sq. unit
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Given curve $ y=\log x $ and $ x=1 $ , $ x=2 $ .
Hence required area = $ \int_1^{2}{\log xdx} $ = $ (x\log x-x)_1^{2} $
= $ 2\log 2-1=(\log 4-1) $ sq. unit.
BETA
