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x^2-11x>12

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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∫ √x−4−3x−13 dx

Solution

−6(12 ln|√x−43 +1|−12 ln|√x−43 −1|−13 √x−4)−3ln|x−13|+C

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∫ √x−4−3x−13 dx

Multipliziere aus √x−4−3x−13 : √x−4x−13 −3x−13

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

=∫ √x−4x−13 dx−∫ 3x−13 dx

∫ √x−4x−13 dx=−6(12 ln|√x−43 +1|−12 ln|√x−43 −1|−13 √x−4)

∫ 3x−13 dx=3ln|x−13|

=−6(12 ln|√x−43 +1|−12 ln|√x−43 −1|−13 √x−4)−3ln|x−13|

Füge eine Konstante zur Lösung hinzu

=−6(12 ln|√x−43 +1|−12 ln|√x−43 −1|−13 √x−4)−3ln|x−13|+C

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

x^2-11x>12

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