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Evaluate the Integral 25x29xdx\int \frac { \sqrt { 25 x ^ { 2 } - 9 } } { x } d x

Question 256

Multiple Choice

Evaluate the integral.
- 25x29xdx\int \frac { \sqrt { 25 x ^ { 2 } - 9 } } { x } d x


A) x293sec1x3+C\sqrt { x ^ { 2 } - 9 } - 3 \sec - 1 \left| \frac { x } { 3 } \right| + C
B) lnx+25x2925x29x+C\ln \left| x + \sqrt { 25 x ^ { 2 } - 9 } \right| - \frac { \sqrt { 25 x ^ { 2 } - 9 } } { x } + C
C) lnx+x29x29x+C\ln \left| x + \sqrt { x ^ { 2 } - 9 } \right| - \frac { \sqrt { x ^ { 2 } - 9 } } { x } + C
D) 25x293sec15x3+C\sqrt { 25 x ^ { 2 } - 9 } - 3 \sec - 1 \left| \frac { 5 x } { 3 } \right| + C

Correct Answer:

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