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 $ .