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 Find the indefinite integral by making the substitution x=9sinθ\text { Find the indefinite integral by making the substitution } x = 9 \sin \theta \text {. }

Question 56

Multiple Choice

 Find the indefinite integral by making the substitution x=9sinθ\text { Find the indefinite integral by making the substitution } x = 9 \sin \theta \text {. }
9x281x2dx\int \frac { 9 } { x ^ { 2 } \sqrt { 81 - x ^ { 2 } } } d x


A) 81x281x2+C- \frac { \sqrt { 81 - x ^ { 2 } } } { 81 x ^ { 2 } } + C
B) 81x281x+C\frac { \sqrt { 81 - x ^ { 2 } } } { 81 x } + C
C) 81x281x+C- \frac { \sqrt { 81 - x ^ { 2 } } } { 81 x } + C
D) 181x(81x2) 3/2+C-\frac{1}{81 x\left(81-x^{2}\right) ^{3 / 2}}+C
E) 181x(81x2) 3/2+C\frac{1}{81 x\left(81-x^{2}\right) ^{3 / 2}}+C

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