The Graph of the Function $f ( x ) = 16 - x ^ { 2 }$

question 2

Multiple Choice

The graph of the function $f ( x ) = 16 - x ^ { 2 }$ is given below. Which of the following definite integrals yields the area of the shaded region?

• A)\(\int _ { 0 } ^ { 16 } \left( 16 - x ^ { 2 } \right) d x\)
• B) \(\int _ { - 4 } ^ { 0 } \left( 16 - x ^ { 2 } \right) d x\)
• C) \(\int _ { 0 } ^ { 4 } \left( 16 - x ^ { 2 } \right) d x\)
• D) \(\int _ { - 16 } ^ { 16 } \left( 16 - x ^ { 2 } \right) d x\)
• E)\(\int _ { - 4 } ^ { 4 } \left( 16 - x ^ { 2 } \right) d x\)

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