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The Integral x2x2+4dx\int \frac { x ^ { 2 } } { \sqrt { x ^ { 2 } + 4 } } d x

Question 115

Multiple Choice

The integral x2x2+4dx\int \frac { x ^ { 2 } } { \sqrt { x ^ { 2 } + 4 } } d x is


A) xx2+42sinh1(x2) 2+C\frac { x \sqrt { x ^ { 2 } + 4 } - 2 \sinh ^ { - 1 } \left( \frac { x } { 2 } \right) } { 2 } + C
B) xx2+4+4sinh1(x2) 2+C- \frac { x \sqrt { x ^ { 2 } + 4 } + 4 \sinh ^ { - 1 } \left( \frac { x } { 2 } \right) } { 2 } + C
C) xx2+44sinh1(x2) 2+C- \frac { x \sqrt { x ^ { 2 } + 4 } - 4 \sinh ^ { - 1 } \left( \frac { x } { 2 } \right) } { 2 } + C
D) xx2+44sinh1(x2) 2+C\frac { x \sqrt { x ^ { 2 } + 4 } - 4 \sinh ^ { - 1 } \left( \frac { x } { 2 } \right) } { 2 } + C
E) xx2+4+4sinh1(x2) 2+C\frac { x \sqrt { x ^ { 2 } + 4 } + 4 \sinh ^ { - 1 } \left( \frac { x } { 2 } \right) } { 2 } + C

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