If for non-zero x, [rmaf( rmx ) + rmbf( 1rmx ) = 1rmx - 25] where a ≠ b then [tlimits_1^2 rmf( rmx )rmdx ] is

[1rma^2 - rmb^2[ a( ln 2 - 25 ) + 47rmb2 ]]

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

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A. \[\frac{1}{{{{\rm{a}}^2} - {{\rm{b}}^2}}}\left[ {a\left( {\ln 2 - 25} \right) + \frac{{47{\rm{b}}}}{2}} \right]\]

B. \[\frac{1}{{{{\rm{a}}^2} - {{\rm{b}}^2}}}\left[ {a\left( {2\ln 2 - 25} \right) - \frac{{47{\rm{b}}}}{2}} \right]\]

C. \[\frac{1}{{{{\rm{a}}^2} - {{\rm{b}}^2}}}\left[ {a\left( {2\ln 2 - 25} \right) + \frac{{47{\rm{b}}}}{2}} \right]\]

D. \[\frac{1}{{{{\rm{a}}^2} - {{\rm{b}}^2}}}\left[ {a\left( {\ln 2 - 25} \right) - \frac{{47{\rm{b}}}}{2}} \right]\]

Answer: Option A

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