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Evaluate the Integral 1x49+x2dx\int \frac { 1 } { x \sqrt { 49 + x ^ { 2 } } } d x

Question 349

Multiple Choice

Evaluate the integral.
- 1x49+x2dx\int \frac { 1 } { x \sqrt { 49 + x ^ { 2 } } } d x


A) 17ln7+49+x2x2+C- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + x ^ { 2 } } } { x ^ { 2 } } \right| + C
B) 17ln749+x2x+C- \frac { 1 } { 7 } \ln \left| \frac { 7 - \sqrt { 49 + x ^ { 2 } } } { x } \right| + C
C) 17ln7+49+x2x+C- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + x ^ { 2 } } } { x } \right| + C
D) 17ln7+49+x2x+C\frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + \mathrm { x } ^ { 2 } } } { \mathrm { x } } \right| + C

Correct Answer:

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