The integral

Question:

The integral $\int \frac{2 x^{12}+5 x^{9}}{\left(x^{5}+x^{3}+1\right)^{3}} d x$ is equal to :-

  1. $\frac{-x^{10}}{2\left(x^{5}+x^{3}+1\right)^{2}}+C$

  2. $\frac{-x^{5}}{\left(x^{5}+x^{3}+1\right)^{2}}+C$

  3. $\frac{x^{10}}{2\left(x^{5}+x^{3}+1\right)^{2}}+C$

  4. $\frac{x^{5}}{2\left(x^{5}+x^{3}+1\right)^{2}}+C$

Correct Option: , 3

Solution:

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