Refer to the Information in the Graph Below $x ^ { 2 }$

question 40

Multiple Choice

Refer to the information in the graph below. Given functions f(x) = $x ^ { 2 }$ + 4x + 4 and g(x) = $x ^ { 2 }$ - 4x + 4, set up a definite integral or sum of definite integrals that gives the area of the shaded portion.

• A) \(\int _ { - 2 } ^ { 0 } - 8 x d x + \int _ { 0 } ^ { 2 } 8 x d x\)
• B) \(\int _ { - 2 } ^ { - 4 } \left[ \left( x ^ { 2 } - 4 x + 4 \right) - \left( x ^ { 2 } + 4 x + 4 \right) \right] d x\)
• C) \(\int _ { - 2 } ^ { 0 } 8 x d x\) + \(\int _ { 0 } ^ { 2 } - 8 x d x\)
• D) \(\int _ { - 2 } ^ { 2 } \left[ \left( x ^ { 2 } - 4 x + 4 \right) - \left( x ^ { 2 } + 4 x + 4 \right) \right] d x\)
• E) none of these

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