Find the area enclosed by the given curves.
-Find the area between the curves y = ln x and y = ln 3x from x = 1 to x = 6.
A) ln 243
B) ln 243 - 10
C) ln 729
D) ln 3

Question

Quizplus · Accepted Answer

The area between the curves y = ln x and y = ln 3x from x = 1 to x = 6 can be found by integrating the difference between the two functions over the given interval. The integral of (ln 3x - ln x) from 1 to 6 equals the integral of ln(3x/x) = ln 3 from 1 to 6, which simplifies to ln 3 times (6 - 1) = 5ln 3 = ln(3^5) = ln 243.

Find the Area Enclosed by the Given Curves