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let-t-gt-0-and-F-t-0-sin-x-2-e-tx-2-x-2-dx-calculate-dF-dt-t-

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Question Number 35043 by math khazana by abdo last updated on 14/May/18
let t>0 and F(t) =∫_0 ^∞ ((sin(x^2 ) e^(−tx^2 ) )/x^2 )dx calculate (dF/dt)(t).
lett>0andF(t)=∫0∞sin(x2)e−tx2x2dxcalculatedFdt(t).
Answered by MJS last updated on 14/May/18
F′(t)=−∫_0 ^∞ sin(x^2 )e^(−x^2 t) dx
F′(t)=−∫∞0sin(x2)e−x2tdx

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