Integrate the Function $$\int \frac { d x } { \left( 25 x ^ { 2 } + 1 \right) ^ { 2 } }$$

question 27

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { \left( 25 x ^ { 2 } + 1 \right) ^ { 2 } }$$

• A) \(\frac { 5 x } { 25 x ^ { 2 } + 1 } + C\)
• B) \(\frac { 1 } { 10 } \tan ^ { - 1 } 5 x + \frac { x } { 50 x ^ { 2 } + 2 } + C\)
• C) \(\ln \left| \sqrt { 25 x ^ { 2 } + 1 } + 5 x \right| + C\)
• D) \(\tan ^ { - 1 } 5 x - \frac { 5 x } { 25 x ^ { 2 } + 1 } + C\)

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