Friday

December 19, 2014

December 19, 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)

= .....

**Answer this Question**

**Related Questions**

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

calculus - Find the area of the indicated region. We suggest you graph the ...

calculus - Find the area of the indicated region. We suggest you graph the ...