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Find the Indefinite Integral by Making the Substitution x=6tanθx = 6 \tan \theta

Question 9

Multiple Choice

Find the indefinite integral by making the substitution
x=6tanθx = 6 \tan \theta x36+x2dx\int x \sqrt { 36 + x ^ { 2 } } d x


A) 2(x2+36) 3/23+C- \frac { 2 \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } } { 3 } + C
B) (x2+36) 3/23+C- \frac { \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } } { 3 } + C
C) (x2+36) 3/23+C\frac { \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } } { 3 } + C
D) 2(x2+36) 3/23+C\frac { 2 \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } } { 3 } + C
E) (x2+36) 3/22+C\frac { \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } } { 2 } + C

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