Find the area of the indicated region. Round your answer to the three decimal places.
Enclosed by $y = 3 \ln x$ and $y = 5 - 3 \ln x$ and $x = 5$ .

A)7.839
B) 8.089
C) 7.089
D) 7.339
E) 6.589

Question

Find the area of the indicated region. Round your answer to the three decimal places.  
Enclosed by $y = 3 \ln x$ and $y = 5 - 3 \ln x$ and $x = 5$ .
 
A)7.839
B) 8.089
C) 7.089
D) 7.339
E) 6.589

Quizplus · Accepted Answer

The area is found by integrating the difference of the functions $y = 5 - 3 \ln x$ and $y = 3 \ln x$ from the intersection point to $x = 5$. The intersection occurs at $x = 1$, so the integral is $\int_1^5 [(5 - 3 \ln x) - (3 \ln x)] \, dx$. Solving this gives approximately 7.089.

Find the Area of the Indicated Region y=3ln⁡xy = 3 \ln xy=3lnx

Find the Area of the Indicated Region $y = 3 \ln x$