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amplitude of sin(2x)

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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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∫ −9x²−82x−18x+9 dx

Solution

80x−9ln|x+9|−92 (x+9)²+720+C

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∫ −9x²−82x−18x+9 dx

Multipliziere aus −9x²−82x−18x+9 : −9x²x+9 −82xx+9 −18x+9

Wende die Summenregel an: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=−∫ 9x²x+9 dx−∫ 82xx+9 dx−∫ 18x+9 dx

∫ 9x²x+9 dx=9((x+9)²2 −18(x+9)+81ln|x+9|)

∫ 82xx+9 dx=82(x+9−9ln|x+9|)

∫ 18x+9 dx=18ln|x+9|

=−9((x+9)²2 −18(x+9)+81ln|x+9|)−82(x+9−9ln|x+9|)−18ln|x+9|

Vereinfache −9((x+9)²2 −18(x+9)+81ln|x+9|)−82(x+9−9ln|x+9|)−18ln|x+9|: 80x−9ln|x+9|−92 (x+9)²+720

=80x−9ln|x+9|−92 (x+9)²+720

Füge eine Konstante zur Lösung hinzu

=80x−9ln|x+9|−92 (x+9)²+720+C

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

amplitude of sin(2x)

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