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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