Thursday

April 17, 2014

April 17, 2014

Posted by **Zia** on Thursday, January 3, 2013 at 4:43am.

Enclosed by y = ln x, y = 2 − ln x, and x = 4

- Business Math -
**Reiny**, Thursday, January 3, 2013 at 9:21amyou will need the intersection of

y = lnx and y = 2-lnx

2lnx= 2

lnx = 1

x = e

so you will have a region shaped like an "arrow head" from x=e to 4

Area = ∫(2 - 2lnx) dx from x = e to 4

(remember the integral of lnx is

xlnx - x , which should be in your repertoire of common integrals )

= [-2xlnx + 4x] from e to 4

= -8ln4 + 16 - (-2e + 4e)

= .....

**Related Questions**

Calculus - Use the limit process to find the area of the region between the ...

Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

calc - Find the area of the indicated region. Enclosed by y = −x and y = ...

cal 1 - Find the area of the indicated region f(x)=(4-x^2) between(0,2)with 4 ...

calculus - find the area of the region under the curve y=f(x)=e^2x over the ...

math - let R be the region bounded by the graphs of y = sin(pie times x) and y...

math - The equations y=-2X+12, y=6-X, and X=0 enclose a region in quadrant I. ...

calculus - 1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x...

calculus - 1. Let R be the region in the first quadrant enclosed by the graphs ...

Calculus - find the area of the region described below. f(x)=-4-sq rt of x Find...