Find the total are between the graph of y=2x and the x-axis over the interval [-3,7]
Im getting 40. And so does the calculator but the answer key is saying 58 and I just dont get it.
Show work please Thanks!
Im getting 40. And so does the calculator but the answer key is saying 58 and I just dont get it.
Show work please Thanks!
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SInce the interval ranges from x=-3 to x=7, you'll have to break the area into two parts: A1 from -3 to 0 and A2 from 0 to 7. If you put them together and integrate you will get the OVERALL area of 40, which is wrong. Integrate them separately:
A1 = Integrate (2x) dx from -3 to 0, --> A1 = -9 since it is in the negative plane. So absolute value for A1 = 9.
A2 = Integrate (2x) dx from 0 to 7, --> A2 = 49.
Now total Area = A1+A2 = 58 units squared.
Hope that helps. Remember to separate the areas into two areas for this question since one of them is in the negative plane.
A1 = Integrate (2x) dx from -3 to 0, --> A1 = -9 since it is in the negative plane. So absolute value for A1 = 9.
A2 = Integrate (2x) dx from 0 to 7, --> A2 = 49.
Now total Area = A1+A2 = 58 units squared.
Hope that helps. Remember to separate the areas into two areas for this question since one of them is in the negative plane.