Determine the Integral by Making an Appropriate Substitution $\int \frac { x } { \left( 7 x ^ { 2 } + 3 \right) ^ { 5 } }$

question 60

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { x } { \left( 7 x ^ { 2 } + 3 \right) ^ { 5 } }$ dx

• A) - \(\frac { 7 } { 3 \left( 7 x ^ { 2 } + 3 \right) ^ { 6 } }\) + C
• B) - \(\frac { 1 } { 14 \left( 7 x ^ { 2 } + 3 \right) ^ { 6 } }\) + C
• C) \(\frac { 7 } { 3 \left( 7 x ^ { 2 } + 3 \right) ^ { 4 } } + C\)
• D) - \(\frac { 1 } { 56 \left( 7 x ^ { 2 } + 3 \right) ^ { 4 } }\) + C

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