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Find the Indefinite Integral 136+(x4)2dx\int \frac { 1 } { 36 + ( x - 4 ) ^ { 2 } } d x

Question 78

Multiple Choice

Find the indefinite integral. 136+(x4) 2dx\int \frac { 1 } { 36 + ( x - 4 ) ^ { 2 } } d x


A) 136arctan(x436) +C\frac { 1 } { 36 } \arctan \left( \frac { x - 4 } { 36 } \right) + C
B) 36arctan(x436) +C36 \arctan \left( \frac { x - 4 } { 36 } \right) + C
C) 16arctan(x46) +C\frac { 1 } { 6 } \arctan \left( \frac { x - 4 } { 6 } \right) + C
D) 136arctan(x46) +C\frac { 1 } { 36 } \arctan \left( \frac { x - 4 } { 6 } \right) + C
E) 6arctan(x46) +C6 \arctan \left( \frac { x - 4 } { 6 } \right) + C

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