exp-ax-1-x-2-exp-a-1-x-2-1-x-2-dx-a-gt-0-

Question Number 215185 by MrGaster last updated on 31/Dec/24

\int_{- \infty}^{\infty} \frac{\exp (\frac{a x}{1 + x^{2}}) \exp (\frac{a}{1 + x^{2}})}{1 + x^{2}} d x, a > 0

Answered by MathematicalUser2357 last updated on 31/Dec/24

Oops! Make sure you typed the expression made of x .

Answered by JamesZhou last updated on 01/Jan/25

Commented by MathematicalUser2357 last updated on 04/Jan/25

\Rightarrow π e^{\frac{a}{2}} I_{0} (\frac{\sqrt{2}}{2} a)