\int_{-\infty}^{\infty}\frac{x^2}{\pi\left(9 +x^6\right)}\,\mathrm{d}x.
You asked:
Evaluate the integral: \(\int_{-\infty}^{\infty}{\frac{{x}^{2}}{\pi \cdot \left(9 + {x}^{6}\right)}}dx\)
MathBot Answer:
Definite integral
\[\int_{-\infty}^{\infty}{\frac{{x}^{2}}{\pi \cdot \left(9 + {x}^{6}\right)}}dx = \frac{1}{9} = 0.\overline{1}\]