Evaluate the Integral by Making a Substitution (Possibly Trigonometric) and Then

question 193

Multiple Choice

Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
- $$\int \frac { \sec ^ { 3 } \sqrt { \theta } } { \sqrt { \theta } } \mathrm { d } \theta$$

• A) \(\sec \sqrt { \theta } \tan \sqrt { \theta } - \ln | \sec \sqrt { \theta } + \tan \sqrt { \theta } | + C\)
• B) \(- \sec \sqrt { \theta } \tan \sqrt { \theta } + \ln | \sec \sqrt { \theta } + \tan \sqrt { \theta } | + C\)
• C) \(\sec \sqrt { \theta } \tan \sqrt { \theta } + \ln | \sec \sqrt { \theta } + \tan \sqrt { \theta } | + C\)
• D) \(- \sec \sqrt { \theta } \tan \sqrt { \theta } + \ln | \sec \sqrt { \theta } - \tan \sqrt { \theta } | + C\)

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