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Evaluate the Integral ∫01/24dr1−r2\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }

Question 63

Multiple Choice

Evaluate the integral.
∫01/24dr1−r2\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }


A) π4\frac { \pi } { 4 }
B) 15\frac { 1 } { 5 }
C) π5\frac { \pi } { 5 }
D) 14\frac { 1 } { 4 }
E) 2π3\frac { 2 \pi } { 3 }

Correct Answer:

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