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inversa de laplace ((x^3-21x))/((5+4x-x^2))

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

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∫ x²+x+1x dx

Solution

x²2 +x+ln|x|+C

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∫ x²+x+1x dx

Expandir x²+x+1x : x+1+1x

=∫ x+1+1x dx

Aplicar a regra da soma: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=∫ xdx+∫ 1dx+∫ 1x dx

∫ xdx=x²2

∫ 1dx=x

∫ 1x dx=ln|x|

=x²2 +x+ln|x|

Adicionar uma constante à solução

=x²2 +x+ln|x|+C

Function Negative Reciprocal Examples

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

inversa de laplace ((x^3-21x))/((5+4x-x^2))

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