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

question 86

Multiple Choice

$\text { Find the indefinite integral by making the substitution } x = 6 \sec \theta \text {. }$ $$\int \frac { 1 } { \sqrt { x ^ { 2 } - 36 } } d x$$

• A) \(\ln \left| \sqrt { x ^ { 2 } + 36 } \right| + x ^ { 2 } + C\)
• B) \(\ln \left| \sqrt { x ^ { 2 } - 36 } \right| + C\)
• C) \(\ln \left| x \sqrt { x ^ { 2 } - 36 } \right| + C\)
• D) \(\ln \left| \sqrt { x ^ { 2 } - 36 } + x \right| + C\)
• E) \(\ln \left| x \sqrt { x ^ { 2 } - 36 } \right| + x + C\)

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