Sketch the Region Whose Area Is Given by the Definite $\int _ { - 3 } ^ { 3 } \sqrt { 9 - x ^ { 2 } } d x$

question 74

Multiple Choice

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. $\int _ { - 3 } ^ { 3 } \sqrt { 9 - x ^ { 2 } } d x$

• A) \(9 \pi\)
• B) \(\frac { 9 \pi } { 4 }\)
• C) \(\frac { 9 } { 2 }\)
• D) \(\frac { 9 \pi } { 2 }\)
• E)none of the above

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