## anonymous 5 years ago find the area of the region that is bounded by these equations,, 1) y=lnx, x-axis, x= e^2 2) y = x^2, y = 8-x^, 4x - y +12 =0

1. anonymous

have you done integration yet?

2. anonymous

not yer

3. anonymous

is calculus class?

4. anonymous

yes

5. anonymous

Then I think only way to solve it is by using integration. Are you familiar with the concept of integration

6. anonymous

yes

7. anonymous

So graph two function in calculator. Which one is on top?

8. anonymous

you know how ln(x) curve look like. Also x=e^2 is verticle line.

9. anonymous

ln(x) is 0 when x=1 right? so you will $\int\limits_{1}^{e^2}\ln(x) dx$

10. anonymous

did you get it?

11. anonymous

wait

12. anonymous

the answer here in the handout is $e ^2 +1$

13. anonymous
14. anonymous

i got it now... :)

15. anonymous

but how can i draw y=lnx and x= e^2 in the cartesian plane

16. anonymous

e^2 verticle line

17. anonymous

how can i solve for its x and y coordinate?