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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 47

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) x2x2yx1yx11dydx=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

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