Definite Integration Question 151
Question: The area enclosed between the curve $ y=log _{e}( x+e ) $ and the coordinate axes is
Options:
1
2
3
4
Show Answer
Answer:
Correct Answer: A
Solution:
Required area $ OAB $
$ =\int\limits _{1-e}^{0}{ln(x+e)dx} $
$ =[ x\ln(x+e)-\int{\frac{x}{x+e}dx} ]_0^{1}=1 $ .
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