Asked by fatma
Find the area between x=-y and x=2-y^2
Answers
Answered by
Steve
The curves intersect at (-2,2) and (1,-1)
so, the area is the sum of all the little horizontal strips between the line and the parabola:
∫[-1,2] (2-y^2)-(-y) dy
= ∫[-1,2] 2+y-y^2 dy
= 9/2
so, the area is the sum of all the little horizontal strips between the line and the parabola:
∫[-1,2] (2-y^2)-(-y) dy
= ∫[-1,2] 2+y-y^2 dy
= 9/2
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