Asked by roga
Find the area bounded by the line y = 1 and the curve y = x^2 - 3.
Answer
8/3
16/3
32/3
32
Answer
8/3
16/3
32/3
32
Answers
Answered by
Steve
Since the curve intersects the line at (-2,1) and (2,1), we can use vertical strips to get
a = ∫[-2,2] 1 - (x^2-3) dx = 32/3
Or, we can use horizontal strips to get
x = ±√(y+3)
a = ∫[-3,1] √(y+3) - (-√(y+3)) dy = 32/3
a = ∫[-2,2] 1 - (x^2-3) dx = 32/3
Or, we can use horizontal strips to get
x = ±√(y+3)
a = ∫[-3,1] √(y+3) - (-√(y+3)) dy = 32/3
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