Find the area of the given region. Use a graphing utility to verify your result?
1 Answer
Apr 16, 2018
The integral expression for area will be
#A = int_1^6 1/x + ln(x^3)/xdx#
#A = int_1^6 1/x + (3lnx)/x dx#
We now let
#A = [ln|x|]_1^6 + [3/2 *u^2]_(ln1)^ln(6)#
#A = ln(6) + 3/2ln^2(6) ~~6.607#
Use a graphing calculator's int function to determine the value. It should confirm this value.
Hopefully this helps!
