Determine the Integral by Making an Appropriate Substitution $\int \frac { \sec ^ { 2 } x } { ( 1 - 3 \tan x ) ^ { 1 / 2 } }$

question 70

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { \sec ^ { 2 } x } { ( 1 - 3 \tan x ) ^ { 1 / 2 } }$ dx

• A) ln \(| 1 - 3 \tan x |\) + C
• B) - \(\frac { 2 } { 3 }\) ln \(| 1 - 3 \tan x |\) + C
• C) - \(\frac { 2 } { 3 }\) \(( 1 - 3 \tan x ) ^ { 1 / 2 }\) + C
• D) \(( 1 - 3 \tan x ) ^ { 1 / 2 }\) + C
• E) none of these

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