intercepts of (2x^2+6)(2x^2-6)

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

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ddx

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

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substituição ∫ (1−x)e^xdx

Solution

−e^xx+2e^x+C

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∫ (1−x)e^xdx

Aplicar integração por substituição: ∫ −e^−u+1udu

=∫ −e^−u+1udu

Remover a constante: ∫a·f(x)dx=a·∫f(x)dx

=−∫ e^−u+1udu

Aplicar integração por partes: −e^−u+1u−∫ −e^−u+1du

=−(−e^−u+1u−∫ −e^−u+1du)

∫ −e^−u+1du=e^−u+1

=−(−e^−u+1u−e^−u+1)

Substituir na equação u=1−x

=−(−e^−(1−x)+1(1−x)−e^−(1−x)+1)

Simplificar −(−e^−(1−x)+1(1−x)−e^−(1−x)+1): −e^xx+2e^x

=−e^xx+2e^x

Adicionar uma constante à solução

=−e^xx+2e^x+C

Verify Result

=−e^xx+2e^x+C

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

intercepts of (2x^2+6)(2x^2-6)

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intercepts of (2x^2+6)(2x^2-6)

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Solution steps

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