Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q74
The integral ∫ (2 x^12+5 x^9)/((x^5+x^3+1)^3) d x is equal to: where C is an arbitrary constant.
The integral $\displaystyle \int \frac{2 x^{12}+5 x^9}{\left(x^5+x^3+1\right)^3} d x$ is equal to :
where $\displaystyle C$ is an arbitrary constant.
Official answer
(2)
$\displaystyle \frac{x^{10}}{2\left(x^5+x^3+1\right)^2}+C$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.