Definite Integration Question 441
Question: The value of $ \int_1^{2}{\log xdx} $ is
[Roorkee 1995]
Options:
A) $ \log 2/e $
B) $ \log 4 $
C) $ \log 4/e $
D) $ \log 2 $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \int_1^{2}{\log xdx=[x\log x-x]_1^{2}=2\log 2-2+1} $
$ =\log 4-1=\log 4-\log e=\log \frac{4}{e} $ .