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If for non-zero x rm af left( rm x right) +...

This question belongs to Engineering Maths Calculus
Calculus
?

If for non-zero x, \[{\rm{af}}\left( {\rm{x}} \right) + {\rm{bf}}\left( {\frac{1}{{\rm{x}}}} \right) = \frac{1}{{\rm{x}}} - 25\]      where a ≠ b then \[\int\limits_1^2 {{\rm{f}}\left( {\rm{x}} \right){\rm{dx}}} \]   is

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Correct Answer: Option A
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