Question

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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