$\text { Find the indefinite integral by making the substitution } x = 3 \sec \theta \text {. }$

question 65

Multiple Choice

$\text { Find the indefinite integral by making the substitution } x = 3 \sec \theta \text {. }$ $$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } - 9 } } d x$$

• A) \(\frac { \sqrt { x ^ { 2 } - 9 } ( x + 9 ) } { 3 } + C\)
• B) \(\frac { \sqrt { x ^ { 2 } - 9 } \left( x ^ { 2 } + 18 \right) } { 3 } + C\)
• C) \(\frac { \sqrt { x ^ { 2 } - 9 } \left( x ^ { 2 } + 18 \right) } { 2 } + C\)
• D) \(\frac { \sqrt { x ^ { 2 } - 9 } \left( x ^ { 2 } + 9 \right) } { 3 } + C\)
• E) \(\frac { \sqrt { x ^ { 2 } - 9 } ( x + 18 ) } { 3 } + C\)

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