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integral of (x-3)e^x

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∫ (x−3)e^xdx

Solution

e^xx−4e^x+C

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Solution steps

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∂ ∂ x (10+6x¹⁰+x+y¹¹−y)

Treat y as a constant

Apply the Sum/Difference Rule: (f±g)′=f ′±g′

=∂ ∂ x (10)+∂ ∂ x (6x¹⁰)+∂ ∂ x (x)+∂ ∂ x (y¹¹)−∂ ∂ x (y)

∂ ∂ x (10)=0

∂ ∂ x (6x¹⁰)=60x⁹

∂ ∂ x (x)=1

∂ ∂ x (y¹¹)=0

∂ ∂ x (y)=0

=0+60x⁹+1+0−0

Simplify

=60x⁹+1

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

integral of (x-3)e^x

Solution

Solution steps

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3	−5
−2	8

`a`	1
`a`	`b`