Question

If $\int {\frac{{dx}}{{{{\left( {{x^2} - 2x + 10} ight)}^2}}}} = A\left( {{{	an }^{ - 1}}\left( {\frac{{x - 1}}{3}} ight) + \frac{{f(x)}}{{{x^3} - 2x + 10}}} ight) + C,$ where, C is a constant of integration, then

Accepted Answer

$A = \frac{1}{{54}}\;\,\,{\rm{and}}\,\;f(x) = 3(x - 1)$

Answer

$A = \frac{1}{{27}}\;\,\,{\rm{and}}\,\,\;f(x) = 9(x - 1)$

Answer

$A = \frac{1}{{81}}\;\,\,{\rm{and}}\,\,\;f(x) = 3(x - 1)$

Answer

$A = \frac{1}{{54}}\;\,\,{\rm{and}}\,\,\;f(x) = 9{(x - 1)^2}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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