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integral of sin(2t)

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∫ sin(2t)dt

Solution

−12 cos(2t)+C

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∫ sin(2t)dt

Apply u-substitution: ∫ sin(u)12 du

=∫ sin(u)12 du

Take the constant out: ∫a·f(x)dx=a·∫f(x)dx

=12 · ∫ sin(u)du

Use the common integral: ∫ sin(u)du=−cos(u)

=12 (−cos(u))

Substitute back u=2t

=12 (−cos(2t))

Simplify

=−12 cos(2t)

Add a constant to the solution

=−12 cos(2t)+C

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안녕, 질문하다 ∫ sin(2t)dt 또는 아래 옵션 중에서 선택하세요

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

integral of sin(2t)

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