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