integral of (x^2-4)/(x-2)

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

☐²

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□□

log_□

θ

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∫

ddx

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

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∫ x²−4x−2 dx

Solution

x²2 +2x+C

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Solution steps

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∫ x²−4x−2 dx

Simplify x²−4x−2 : x+2

=∫ x+2dx

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

=∫ xdx+∫ 2dx

∫ xdx=x²2

∫ 2dx=2x

=x²2 +2x

Add a constant to the solution

=x²2 +2x+C

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