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Integral Word Problem EXACT PROBLEM Incluced

  • Thread starter niravana21
  • Start date
  • #1
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Homework Statement


Here is the problem:
WordProblem.jpg




The Attempt at a Solution


I can see that as x increases, the deeper the water gets, but I can't figure out my limits of integration.

If somecan just give me the limits, I think I would be all set.
 

Answers and Replies

  • #2
jhae2.718
Gold Member
1,161
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The depth of the pool is modeled by D(x)=1+x2/175.

According to the problem, the pool is 25 meters long. This is from the shallow end to the deep end.

Knowing that your interval should be as long as the length of the pool, what do you think you should use?
 
Last edited:
  • #3
56
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The equation for depth involves x, the distance from the shallow end. The pool is 25 meters long. Given this information, what do you think the limits should be?

Edit: Whoops, a little late!
 
  • #4
34
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0 to 25?
 
  • #5
jgens
Gold Member
1,580
49
Yup.
 
  • #6
jhae2.718
Gold Member
1,161
20
Correct. Generally, whenever you need to integrate something of a fixed length l, your interval should be from 0 to l. This includes when finding area, volume, time, etc, which if you haven't done yet you will. You'll always get your interval from the problem; sometimes you may have to solve for your limits of integration.
 
  • #7
34
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thanks so much guys. Feel like an idiot.

Feels good to solve a problem.

thanks again. Will definitely post back again.
 
Last edited:

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