If for non-zero \(x, \: af(x) + bf(\frac{1}{x}) = \frac{1}{x} - 25\) where \(a…
2015
If for non-zero \(x, \: af(x) + bf(\frac{1}{x}) = \frac{1}{x} - 25\) where \(a \neq b \text{ then } \int\limits_1^2 f(x)dx\) is
- A.
\(\frac{1}{a^2 - b^2} \begin{bmatrix} a(\ln 2 - 25) + \frac{47b}{2} \end{bmatrix}\) - B.
\(\frac{1}{a^2 - b^2} \begin{bmatrix} a(2\ln 2 - 25) - \frac{47b}{2} \end{bmatrix}\) - C.
\(\frac{1}{a^2 - b^2} \begin{bmatrix} a(2\ln 2 - 25) + \frac{47b}{2} \end{bmatrix}\) - D.
\(\frac{1}{a^2 - b^2} \begin{bmatrix} a(\ln 2 - 25) - \frac{47b}{2} \end{bmatrix}\)
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Correct answer: A
