JEE Mains 2016 Mathematics 33

Calculus Level 3

\[\int { \left( \frac { 2{ x }^{ 12 }+5{ x }^{ 9 } }{ { \left( { x }^{ 5 }+{ x }^{ 3 }+1 \right) }^{ 3 } } \right) dx }\]

What is the above integral equal to?

Assumptions:

  • \(C\) is an arbitrary constant
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