(\partial)/(\partial x)(15+17x^5+x+y^7-y)

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

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x^☐

√☐

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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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∫ xe^−xdx

Solution

−e^−xx−e^−x+C

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Solution steps

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∫ xe^−xdx

Apply Integration By Parts: −e^−xx−∫ −e^−xdx

=−e^−xx−∫ −e^−xdx

∫ −e^−xdx=e^−x

=−e^−xx−e^−x

Add a constant to the solution

=−e^−xx−e^−x+C

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

(\partial)/(\partial x)(15+17x^5+x+y^7-y)

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