integral of arccot x

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

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∫ arccot(x)dx

Solution

xarccot(x)+12 ln|x²+1|+C

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∫ arccot(x)dx

Apply Integration By Parts: xarccot(x)−∫ −xx²+1 dx

=xarccot(x)−∫ −xx²+1 dx

∫ −xx²+1 dx=−12 ln|x²+1|

=xarccot(x)−(−12 ln|x²+1|)

Simplify

=xarccot(x)+12 ln|x²+1|

Add a constant to the solution

=xarccot(x)+12 ln|x²+1|+C

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

integral of arccot x

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