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Determine the Integral by Making an Appropriate Substitution ∫9x2−2(3x3−2x)2\int \frac { 9 x ^ { 2 } - 2 } { \left( 3 x ^ { 3 } - 2 x \right) ^ { 2 } }

Question 110

Multiple Choice

Determine the integral by making an appropriate substitution.
- ∫9x2−2(3x3−2x) 2\int \frac { 9 x ^ { 2 } - 2 } { \left( 3 x ^ { 3 } - 2 x \right) ^ { 2 } } dx


A) (3x3−2x) 33+C\frac { \left( 3 x ^ { 3 } - 2 x \right) ^ { 3 } } { 3 } + C
B) 13x3−2x\frac { 1 } { 3 x ^ { 3 } - 2 x } + C
C) 13x3−2x+C\frac { 1 } { 3 x ^ { 3 } - 2 x } + C
D) (3x3−2x) 22\frac { \left( 3 x ^ { 3 } - 2 x \right) ^ { 2 } } { 2 } + C

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