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Determine the Integral by Making an Appropriate Substitution sec2x(13tanx)1/2\int \frac { \sec ^ { 2 } x } { ( 1 - 3 \tan x ) ^ { 1 / 2 } }

Question 70

Multiple Choice

Determine the integral by making an appropriate substitution.
- sec2x(13tanx) 1/2\int \frac { \sec ^ { 2 } x } { ( 1 - 3 \tan x ) ^ { 1 / 2 } } dx


A) ln 13tanx| 1 - 3 \tan x | + C
B) - 23\frac { 2 } { 3 } ln 13tanx| 1 - 3 \tan x | + C
C) - 23\frac { 2 } { 3 } (13tanx) 1/2( 1 - 3 \tan x ) ^ { 1 / 2 } + C
D) (13tanx) 1/2( 1 - 3 \tan x ) ^ { 1 / 2 } + C
E) none of these

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