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Find the Indefinite Integral 1x9+49x2dx\int \frac { 1 } { x \sqrt { 9 + 49 x ^ { 2 } } } d x

Question 118

Multiple Choice

Find the indefinite integral. 1x9+49x2dx\int \frac { 1 } { x \sqrt { 9 + 49 x ^ { 2 } } } d x


A)
1349x2+9+3x+C\frac { 1 } { 3 } \frac { \sqrt { 49 x ^ { 2 } + 9 } + 3 } { x } + C
B)
13ln49x2+93x+C\frac { 1 } { 3 } \ln \left| \frac { \sqrt { 49 x ^ { 2 } + 9 } - 3 } { x } \right| + C
C)
13ln49x2+9+3x+C\frac { 1 } { 3 } \ln \left| \frac { \sqrt { 49 x ^ { 2 } + 9 } + 3 } { x } \right| + C
D)
16ln49x2+93x2+C\frac { 1 } { 6 } \ln \left| \frac { \sqrt { 49 x ^ { 2 } + 9 } - 3 } { x ^ { 2 } } \right| + C
E)
1349x2+93x+C\frac { 1 } { 3 } \frac { \sqrt { 49 x ^ { 2 } + 9 } - 3 } { x } + C

Correct Answer:

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