Definite Integration Question 318
Question: The area enclosed between the curve $ y={\log _{e}}(x+e) $ and the co-ordinate axes is
[AIEEE 2005]
Options:
A) 3
B) 4
C) 1
D) 2
Show Answer
Answer:
Correct Answer: C
Solution:
Required area $ =\int _{1-e}^{0}{{\log _{e}}(x+e)\ dx} $
$ =\int_1^{e}{\logt\ dt=[t\log t-t]_1^{e}}=1\ sq.\ unit $ , (Put $ x+e=t $ ).
BETA
