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integral of cot^2(x)

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∫ cot²(x)dx

Solution

−x−cot(x)+C

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∫ cot²(x)dx

Rewrite using trig identities

=∫ −1+csc²(x)dx

Apply the Sum Rule: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=−∫ 1dx+∫ csc²(x)dx

∫ 1dx=x

∫ csc²(x)dx=−cot(x)

=−x−cot(x)

Add a constant to the solution

=−x−cot(x)+C

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

integral of cot^2(x)

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integral of cot^2(x)

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