Find the area of the indicated region.
Enclosed by $y = \ln x$ and $y = 2 x - 3$ . (Round answer to four significant digits.) [First use technology to determine approximately where the graphs cross.]

A)1.471
B) 1.171
C) 1.671
D) 1.871
E) 1.271

Question

Find the area of the indicated region.  
Enclosed by $y = \ln x$ and $y = 2 x - 3$ . (Round answer to four significant digits.) [First use technology to determine approximately where the graphs cross.]
 
A)1.471
B) 1.171
C) 1.671
D) 1.871
E) 1.271

Quizplus · Accepted Answer

To find the area between the curves $y = \ln x$ and $y = 2x - 3$, we first need to find the points of intersection by setting $\ln x = 2x - 3$. Solving this equation typically requires numerical methods or graphing technology, as it cannot be solved algebraically in a simple manner. After finding the points of intersection, we integrate the difference between the two functions over the interval defined by these points. The correct area, after performing these steps and rounding to four significant digits, is approximately 1.471.

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

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