A calculus problem by Akshat Sharda

Calculus Level 4

P=0x21+x4dxQ=0x1+x4dxR=011+x4dx\begin{aligned} P & = \int^{\infty}_{0} \frac{x^2}{1+x^4}dx \\ Q & = \int^{\infty}_{0} \frac{x}{1+x^4}dx \\ R & = \int^{\infty}_{0} \dfrac{1}{1+x^4}dx \end{aligned}

Given the above, which of the following is true?

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