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Clarence

  • one year ago

How would I determine an integral function using a graph?

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  1. clarence
    • one year ago
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    This question in particular:

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  2. FireKat97
    • one year ago
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    the definite integral of a function between two numbers, is the area under the graph of the function between the two numbers. Ie, in your question, the definite integral you need to find is the area of the graph under f(x) between the points x= 0 and x = 28. Because your graph is essentially composed of straight lines, you can manually find the area by breaking it up into rectangles and triangles and sum the two areas together. Note, the larger (area 1) is a positive "area" (above the x axis) whereas the smaller area (area 2) is a "negative" area (under the x-axis) so when you go to "sum" them together do area 1 + (- area 2)

  3. FireKat97
    • one year ago
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    Hope that makes sense :)

  4. clarence
    • one year ago
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    Oh, I think I get it! So just quickly looking at the graph, would the answer just be 18 then? :P @FireKat97

  5. FireKat97
    • one year ago
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    Actually @Clarence I meant something like this...

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  6. clarence
    • one year ago
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    Oh right, so it'd be 32 then :p

  7. clarence
    • one year ago
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    So for area 1, it'd be 7x3+1/2(12x3) and area 2 as 5+2 right? @FireKat97

  8. FireKat97
    • one year ago
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    Yup, thats the basic idea. but using fractions will add accuracy :)

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