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invers sqrt(6x)

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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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∫ cos²(x)sin²(x) dx

Solution

−cot(x)−x+C

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∫ cos²(x)sin²(x) dx

Umschreiben mit Hilfe von Trigonometrie-Identitäten

=∫ 1−sin²(x)sin²(x) dx

Multipliziere aus 1−sin²(x)sin²(x) : 1sin²(x) −1

=∫ 1sin²(x) −1dx

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

=∫ 1sin²(x) dx−∫ 1dx

∫ 1sin²(x) dx=−cot(x)

∫ 1dx=x

=−cot(x)−x

Füge eine Konstante zur Lösung hinzu

=−cot(x)−x+C

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

invers sqrt(6x)

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