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 Find the indefinite integral by making the substitution x=7sinθ\text { Find the indefinite integral by making the substitution } x = 7 \sin \theta \text {. }

Question 71

Multiple Choice

 Find the indefinite integral by making the substitution x=7sinθ\text { Find the indefinite integral by making the substitution } x = 7 \sin \theta \text {. } x(49x2) 3/2dx\int \frac { x } { \left( 49 - x ^ { 2 } \right) ^ { 3 / 2 } } d x


A) 149x2+C\frac { 1 } { \sqrt { 49 - x ^ { 2 } } } + C
B) 3249x2+C\frac { 3 } { 2 \sqrt { 49 - x ^ { 2 } } } + C
C) 3249x2+C- \frac { 3 } { 2 \sqrt { 49 - x ^ { 2 } } } + C
D) 449x2+C\frac { 4 } { \sqrt { 49 - x ^ { 2 } } } + C
E) 249x2+C\frac { 2 } { \sqrt { 49 - x ^ { 2 } } } + C

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