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:
3
4
1
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 $ t=x+e $ ).
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