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Find the area between the curves y+8x-8 and y=x^3 - 4x^2 - 7x + 10
Answer is 210.08 units squared
How do you get that?
Standard technique for finding areas between two curves y[sub]1[/sub] and y[sub]2[/sub]:
(i) Find the points of intersection between the two curves. (There should be at least two points of instersection.)
(ii) Integrate |y[sub]1[/sub] − y[sub]2[/sub]| between the point of intersection with the lowest x value and the point of intersection with the highest x value.
So the first step for you: Find the points of intersection of
Have you done that?
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yer but there are three points of intersection and i dont know what to do
The points of intersection are at x = −3, 1 and 6. Now calculate |y[sub]1[/sub] − y[sub]2[/sub]| in the two invervals [−3,1] and [1,6].
(i)
(ii)
Hence the area is
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