integral of (2x-5)e^x

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`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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∫ (2x−5)e^xdx

Solution

2e^xx−7e^x+C

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∫ (2x−5)e^xdx

Apply Integration By Parts: (2x−5)e^x−∫ 2e^xdx

=(2x−5)e^x−∫ 2e^xdx

∫ 2e^xdx=2e^x

=(2x−5)e^x−2e^x

Simplify (2x−5)e^x−2e^x: 2e^xx−7e^x

=2e^xx−7e^x

Add a constant to the solution

=2e^xx−7e^x+C

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

integral of (2x-5)e^x

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