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切片 xe^{x^2}

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

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ddx

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

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∫ sin(2x)dx

Solution

−12 cos(2x)+C

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∫ sin(2x)dx

u置換積分法を適用する: ∫ sin(u)12 du

=∫ sin(u)12 du

定数を除く: ∫a·f(x)dx=a·∫f(x)dx

=12 · ∫ sin(u)du

共通積分を使用する: ∫ sin(u)du=−cos(u)

=12 (−cos(u))

代用を戻す u=2x

=12 (−cos(2x))

簡素化

=−12 cos(2x)

定数を解答に追加する

=−12 cos(2x)+C

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

切片 xe^{x^2}

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切片 xe^{x^2}

Solution

Solution steps

Number Line

Graph