let-give-F-t-0-sin-x-2-x-2-e-tx-2-dx-with-t-gt-0-find-dF-dt-t-

Question Number 28813 by abdo imad last updated on 30/Jan/18

l e t g i v e F (t) = \int_{0}^{\infty} \frac{s i n (x^{2})}{x^{2}} e^{- {t x}^{2}} d x w i t h t > 0

f i n d \frac{d F}{d t} (t) .