$\text { Find the indefinite integral by making the substitution } x = 6 \sec \theta \text {. }$

question 125

Multiple Choice

$\text { Find the indefinite integral by making the substitution } x = 6 \sec \theta \text {. }$ $$\int \frac { \sqrt { x ^ { 2 } - 36 } } { x } d x$$

• A) \(\sqrt { x ^ { 2 } - 36 } - 6 \sec ^ { - 1 } \left( \frac { x } { 6 } \right) + C\)
• B) \(\sqrt { x ^ { 2 } - 36 } + 6 \sec ^ { - 1 } \left( \frac { x } { 6 } \right) + C\)
• C) \(\sqrt { x ^ { 2 } - 36 } + 6 \sec ^ { - 1 } \left( \frac { 6 } { x } \right) + C\)
• D) \(\sqrt { x ^ { 2 } - 36 } - 36 \sec ^ { - 1 } \left( \frac { x } { 6 } \right) + C\)
• E) \(\sqrt { x ^ { 2 } - 36 } - 6 \sec ^ { - 1 } \left( \frac { 6 } { x } \right) + C\)

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