Mathematics · 2014
JEE Main · 19 April 2014, Shift 1 · Q74
If m is a non - zero number and ∫ (x^5 m-1+2 x^4 m-1)/((x^2 m+x^m+1)^3) d x=f(x)+ c then f(x) is:
If $\displaystyle m$ is a non - zero number and
$$\int \frac{x^{5 m-1}+2 x^{4 m-1}}{\left(x^{2 m}+x^m+1\right)^3} \mathrm{~d} x=f(x)+\mathrm{c}
$$
then $\displaystyle f(x)$ is :
Official answer
(2)
$\displaystyle \frac{x^{4 m}}{2 m\left(x^{2 m}+x^m+1\right)^2}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.