Question
If \( P=\int_{0}^{\infty} \frac{x^{2}}{1+x^{4}} d x ; \quad Q=\int_{0}^{\infty} \frac{x....
Question
\( \mathrm{P} \)
If \( P=\int_{0}^{\infty} \frac{x^{2}}{1+x^{4}} d x ; \quad Q=\int_{0}^{\infty} \frac{x d x}{1+x^{4}} \) and \( R=\int_{0}^{\infty} \frac{d x}{1+x^{4}} \) then
\( 1 \quad Q=\frac{\pi}{4} \)
\( 2 \quad P=R \)
\( 3 P-\sqrt{2} Q+R=\frac{\pi}{2 \sqrt{2}} \)
\( 4 \quad Q=\frac{\pi}{2} \)
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