integral of cot(x)

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

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√☐

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log_□

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ddx

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

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∫ cot(x)dx

Solution

ln|sin(x)|+C

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∫ cot(x)dx

Rewrite using trig identities

=∫ cos(x)sin(x) dx

Apply u-substitution: ∫ 1u du

=∫ 1u du

Use the common integral: ∫ 1u du=ln(|u|)

=ln|u|

Substitute back u=sin(x)

=ln|sin(x)|

Add a constant to the solution

=ln|sin(x)|+C

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

integral of cot(x)

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