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inverse of (x^3-2x^2-3x)/(x^2-4)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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asymptotes {sin(x):x<0, 2x:x≥ 0}

Solution

Slant: y=2x

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L⁻¹{x(x²+1)² }

Appliquer la règle de la transformée inverse : si L⁻¹{F(s)}=f(t) alors L⁻¹{sF(s)}=ddt f(t)+f(0)

Pour x(x²+1)² : F(x)=1(x²+1)²

=ddt (L⁻¹{1(x²+1)² })+L⁻¹{1(x²+1)² }(0)

L⁻¹{1(x²+1)² }: 12 (sin(t)−tcos(t))

ddt (12 (sin(t)−tcos(t)))=tsin(t)2

Evaluer 12 (sin(t)−tcos(t)) au point 0=0

=tsin(t)2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

inverse of (x^3-2x^2-3x)/(x^2-4)

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