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Evaluate the Integral ∫2x4x2−4dx\int 2 x \sqrt { 4 x ^ { 2 } - 4 } d x

Question 32

Multiple Choice

Evaluate the integral. ∫2x4x2−4dx\int 2 x \sqrt { 4 x ^ { 2 } - 4 } d x


A) (4x2−4) 2+C\frac { \sqrt { \left( 4 x ^ { 2 } - 4 \right) } } { 2 } + C
B) (4x2−4) 4x2−44+C\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 4 } + C
C) (4x2−4) 4x2−46+C\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 6 } + C
D) (4x2−4) 4x2−42+C\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 2 } + C
E) (4x2−4) 4x2−412+C\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 12 } + C

Correct Answer:

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