\int _{-\infty }^{+\infty }\:\frac{1}{\left(1+x^2\right)^2}dx
You asked:
Evaluate the integral: \(\int_{-\infty}^{\infty}{\frac{1}{{\left( 1 + {x}^{2} \right)}^{2}}}dx\)
MathBot Answer:
Definite integral
\[\int_{-\infty}^{\infty}{\frac{1}{{\left( 1 + {x}^{2} \right)}^{2}}}dx = \frac{\pi}{2} \approx 1.57079632679489661923132169163975\]