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Use a Double Integral to Find the Area of R x2x2yx1yx11dydx=4\int _ { x - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 4

Question 3

Multiple Choice

Use a double integral to find the area of R. R is the triangle with vertices (-2,1) ,(2,1) ,and (0,-1) .


A) x2x2yx1yx11dydx=4\int _ { x - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 4
B) y1y1xy1xy+11dxdy=4\int _ { y - 1 } ^ { y - 1 } \int _ { x - - y - 1 } ^ { x - y + 1 } 1 d x d y = 4
C) x=2x2yx1yx11dydx=8\int _ { x = - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 8
D) y1y1xy1xy+11dxdy=8\int _ { y - 1 } ^ { y - 1 } \int _ { x - - y - 1 } ^ { x - y + 1 } 1 d x d y = 8

Correct Answer:

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