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Use a Table of Integrals with Forms Involving a2u2\sqrt { a ^ { 2 } - u ^ { 2 } }

Question 34

Multiple Choice

Use a table of integrals with forms involving a2u2\sqrt { a ^ { 2 } - u ^ { 2 } } to find 3x249x2dx\int \frac { - 3 } { x ^ { 2 } \sqrt { 49 - x ^ { 2 } } } d x


A) 349x249x+C\frac { 3 \sqrt { 49 - x ^ { 2 } } } { 49 x } + C
B) 49x249x+C- \frac { \sqrt { 49 - x ^ { 2 } } } { 49 x } + C
C) 37ln7+49x2x+C\frac { 3 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 - x ^ { 2 } } } { x } \right| + C
D) 349x249x+C- \frac { 3 \sqrt { 49 - x ^ { 2 } } } { 49 x } + C
E) 37ln7+49x2x+C- \frac { 3 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 - x ^ { 2 } } } { x } \right| + C

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