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Question Number 128197 by BHOOPENDRA last updated on 05/Jan/21

Commented by BHOOPENDRA last updated on 05/Jan/21

$h e l p m e o u t t h i s ?$
	Answered by Dwaipayan Shikari last updated on 05/Jan/21
	$f(t)= { (((t−2)^2 t>2)),((0 t<2)) :} L(f(t))=∫_0 ^∞ e^(−st) (t−2)^2 dt = e^(−2s) ∫_0 ^∞ e^(−s(t−2)) (t−2)^2 dt =e^(−2s) ∫_0 ^∞ e^(−su) u^2 du = e^(−2s) ((Γ(3))/s^3 )=((2e^(−2s) )/s^3 )$
	$f (t) = {\begin{cases} {(t - 2)}^{2} t > 2 \\ 0 t < 2 \end{cases}$ $L (f (t)) = \int_{0}^{\infty} e^{- s t} {(t - 2)}^{2} d t = e^{- 2 s} \int_{0}^{\infty} e^{- s (t - 2)} {(t - 2)}^{2} d t$ $= e^{- 2 s} \int_{0}^{\infty} e^{- s u} u^{2} d u = e^{- 2 s} \frac{Γ (3)}{s^{3}} = \frac{2 e^{- 2 s}}{s^{3}}$
	Commented by BHOOPENDRA last updated on 05/Jan/21

	$t h a n k s s i r n s e c o n d o n e ?$
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