integral of-x^3+3x^2+1

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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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∫ −x³+3x²+1dx

Solution

−x⁴4 +x³+x+C

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∫ −x³+3x²+1dx

Apply the Sum Rule: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

=−∫ x³dx+∫ 3x²dx+∫ 1dx

∫ x³dx=x⁴4

∫ 3x²dx=x³

∫ 1dx=x

=−x⁴4 +x³+x

Add a constant to the solution

=−x⁴4 +x³+x+C

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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integral of-x^3+3x^2+1

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