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The Integral 4x2+9dx\int \sqrt { 4 x ^ { 2 } + 9 } d x

Question 101

Multiple Choice

The integral 4x2+9dx\int \sqrt { 4 x ^ { 2 } + 9 } d x is


A) 9sin1(2x3) +2x4x2+94+C\frac { 9 \sin ^ { - 1 } \left( \frac { 2 x } { 3 } \right) + 2 x \sqrt { 4 x ^ { 2 } + 9 } } { 4 } + C
B) 9sin1(2x3) 2x4x2+94+C\frac { 9 \sin ^ { - 1 } \left( \frac { 2 x } { 3 } \right) - 2 x \sqrt { 4 x ^ { 2 } + 9 } } { 4 } + C .
C) 9sin1(2x3) 2x4x2+94+C\frac { 9 \sin ^ { - 1 } \left( \frac { 2 x } { 3 } \right) - 2 x \sqrt { 4 x ^ { 2 } + 9 } } { 4 } + C
D) 9sin1(2x3) 2x4x2+94+C- \frac { 9 \sin ^ { - 1 } \left( \frac { 2 x } { 3 } \right) - 2 x \sqrt { 4 x ^ { 2 } + 9 } } { 4 } + C .
E) 9sinh1(2x3) +x4x2+94+C\frac { 9 \sinh ^ { - 1 } \left( \frac { 2 x } { 3 } \right) + x \sqrt { 4 x ^ { 2 } + 9 } } { 4 } + C

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