How do I get the area under the graph on each question. Ok so I see that a goes from 0 to 4 so I think it is everything underneath that. What is the area?
Getting the integral from a graph
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$\begingroup$
calculus
integration
definite-integrals
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2Hint: what shape is it? How can we find its area? – 2017-01-11
2 Answers
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For exercise "a" you have to compute the following area:
I assume you know how to compute the area of a square and a triangle. Which is in the case of question "a" 4*2+0.5*4*4=16. Question b goes in a similar way.
Note that for question "c" you have to compute the area above the graph, since the graph itself lies underneath the x-axis:
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0What is the area of B i cant get it right – 2017-01-11
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0For B i got 40 but it says it is wrong i got C right though. Is it possible that the system is wrong? – 2017-01-11
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0B has to be 40 indeed. So if the system doesn't accept the answer, the system is wrong. – 2017-01-11
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0Thanks much appreciated – 2017-01-11
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0For "d" i got 24 but it doesn't say it is correct am I wrong or is the system – 2017-01-11
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0For "d" you have to add up your answer by "b" and "c" and add a little. Try to figure out what you did wrong. – 2017-01-11
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0You are the best – 2017-01-11
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For a, we are computing the area of a trapezoid, which evaluates to 16.
For b, break the shape into two shapes into a trapezoid, (from part a), a rectangle (of area 12), and a triangle (of area of 12), so we get 40.
c and d are similar, just remember that those "areas" will be negative.
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0I understand what u did but for B i got 40 as well but the system says its worng – 2017-01-11


