Use Reduction Formulas to Evaluate the Integral $$\int \sec ^ { 3 } 4 x d x$$

question 116

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \sec ^ { 3 } 4 x d x$$

• A) \(\frac { 1 } { 8 } \sec ^ { 2 } 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \tan 4 x | + C\)
• B) \(\frac { 1 } { 8 } \sec 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \tan 4 x | + C\)
• C) \(\frac { 1 } { 8 } \sec 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \cot 4 x | + C\)
• D) \(\frac { 1 } { 8 } \sec 4 x \tan 4 x - \frac { 1 } { 4 } \ln | \sec 4 x + \tan 4 x | + C\)

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