Question

$\smallint \,\,\frac{x}{{\left( {{x^2} - {a^2}} \right)\,\,\left( {{x^2} - {b^2}} \right)}}\,\,dx$ is equal to

Accepted Answer

$\frac{1}{{2\,({a^2} - \,\,{b^2})}}\,\,\log \,\,\left| {\,\frac{{{x^2} - {a^2}}}{{{x^2} - {b^2}}}\,} \right|\,\, + \,\,c$

Answer

$\frac{1}{{{a^2} - \,\,{b^2}}}\,\,\log \,\,\left| {\,\frac{{{x^2} - {a^2}}}{{{x^2} - {b^2}}}\,} \right| + \,\,c$

Answer

$\frac{1}{{{a^2} - \,\,{b^2}}}\,\,\log \,\,\left| {\,\frac{{{x^2} - {b^2}}}{{{x^2} - {a^2}}}\,} \right| + c$

Answer

$\frac{1}{{2({a^2} - \,\,{b^2})}}\,\,\log \,\,\left| {\,\frac{{{x^2} - {b^2}}}{{{x^2} - {a^2}}}\,} \right| + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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