Express the Area of the Region Bounded by the Given $\int _ { 0 } ^ { 2 } \int _ { x ( x - 2 ) } ^ { x ( x - 6 ) } d y d x$

question 148

Multiple Choice

Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.
-The curves y = x(x - 2) and y = x(x - 2) (x - 6)

• A) \(\int _ { 0 } ^ { 2 } \int _ { x ( x - 2 ) } ^ { x ( x - 6 ) } d y d x\)
• B) \(\int _ { 2 } ^ { 6 } \int _ { x ( x - 2 ) } ^ { x ( x - 2 ) ( x - 6 ) } d y d x\)
• C) \(\int _ { 2 } ^ { 6 } \int _ { x ( x - 2 ) } ^ { x ( x - 6 ) } d y d x\)
• D) \(\int _ { 0 } ^ { 2 } \int _ { x ( x - 2 ) } ^ { x ( x - 2 ) ( x - 6 ) } d y d x\)

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