Calculus-dx-x-2-e-a-x-2-a-gt-0-

Question Number 143735 by mnjuly1970 last updated on 17/Jun/21

\dots . . C a l c u l u s \dots . .

Ω := \int_{- \infty}^{\infty} \frac{d x}{x^{2} e^{\frac{a}{x^{2}}}} = ? (a > 0)

Answered by Dwaipayan Shikari last updated on 17/Jun/21

\frac{1}{x} = u

= 2 \int_{0}^{\infty} e^{- {a u}^{2}} d u

= \sqrt{\frac{π}{a}}

Commented by Dwaipayan Shikari last updated on 17/Jun/21

S o r r y s i r! I h a v e c o r r e c t e d

Commented by mnjuly1970 last updated on 17/Jun/21

t h a n k s a l o t, p l e a s e r e c h e c k . .

Commented by mnjuly1970 last updated on 17/Jun/21

t h a n k y o u s o m u c h m r p a y a n . .

g r a t e f u l \dots