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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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intervalo √1−x

Solution

f(x)≥ 0

Interval Notation

[0, ∞ )

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Solution steps

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L⁻¹{x³−5(x−3)² }

Tirar a fração parcial de x³−5(x−3)² : x+6+27x−3 +22(x−3)²

=L⁻¹{x+6+27x−3 +22(x−3)² }

Usar a propriedade de linearidade da transformada inversa de Laplace:
Para as funções f(s), g(s) e constantes a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=L⁻¹{x}+L⁻¹{6}+L⁻¹{27x−3 }+L⁻¹{22(x−3)² }

L⁻¹{x}: δ′ (t)

L⁻¹{6}: 6δ(t)

L⁻¹{27x−3 }: 27e^3t

L⁻¹{22(x−3)² }: e^3t· 22t

=δ′ (t)+6δ(t)+27e^3t+e^3t· 22t

Solve instead

domínio √1−x

inversa √1−x

interceptos √1−x

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Oi, faça uma pergunta sobre ddx (log₂(2x)) ou escolha entre as opções abaixo

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

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`a`	1
0	2`a`