anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
have you done integration yet?
anonymous
  • anonymous
not yer
anonymous
  • anonymous
is calculus class?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
Then I think only way to solve it is by using integration. Are you familiar with the concept of integration
anonymous
  • anonymous
yes
anonymous
  • anonymous
So graph two function in calculator. Which one is on top?
anonymous
  • anonymous
you know how ln(x) curve look like. Also x=e^2 is verticle line.
anonymous
  • anonymous
ln(x) is 0 when x=1 right? so you will \[\int\limits_{1}^{e^2}\ln(x) dx\]
anonymous
  • anonymous
did you get it?
anonymous
  • anonymous
wait
anonymous
  • anonymous
the answer here in the handout is \[e ^2 +1\]
anonymous
  • anonymous
Yes http://www.wolframalpha.com/input/?i=integral+1+to+e^2%28ln%28x%29+
anonymous
  • anonymous
i got it now... :)
anonymous
  • anonymous
but how can i draw y=lnx and x= e^2 in the cartesian plane
anonymous
  • anonymous
e^2 verticle line
anonymous
  • anonymous
how can i solve for its x and y coordinate?

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