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Find the area under this graph by integration (it's a simple function!)

  • #1

Homework Statement



This is the function:
y= 360(1.0297^x)
Find the area between x=24, and x=48.
The graph looks like this: http://tinypic.com/r/30w4bjp/5

And the points are:
24, 740.8379
30, 883.0544
36, 1052.572
42, 1254.631
48, 1495.479

ASAP svp. =]


Homework Equations


Ah... You know it =/
http://upload.wikimedia.org/math/8/1/9/819ac78e8461a8a9c55f3f845e577620.png


The Attempt at a Solution


Unfortunately, I haven't learned integration. But I'm working on a Math IA (Internal Assessment) and I want to do this with a slightly higher quality. I just did some research but it's Greek to me so far =/
Can someone calculate this please? I'd like to see maybe 2 or 3 steps to try and understand how you did it.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
If you don't know integration, do you know any method to approximate the area? It will make no sense to try to explain the integration to you if you don't know what integration is in the first place.
 
  • #3
264
0
well I got 25299.6908 with Trapazoidal Approximation and 25105.80447 using Simpson's Rule but I can not tell you the error rate on either number because I don't know how to take the derivatives of that function. Contrary to what you might think it is not an elementary function. I can tell you that the number using Simpson's Rule is closer to the actual result than the trapazoidal approximation but I can't tell you how close....

I got those using dx = 2, so if i took a smaller dx it would be better as well, but I don't want to spend the time doing all those calculations....
 
  • #4
rock.freak667
Homework Helper
6,230
31
Contrary to what you might think it is not an elementary function.
Actually, that integral can be solved using a substitution.
 
  • #5
264
0
really? I tried that but i couldn't get anything to come out, what is the substitution then? what does u =?
 

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