gcd x^2-1, x^2+2x+1

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

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∫ cos(−2x)dx

Solution

12 sin(2x)+C

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Solution steps

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∫ cos(−2x)dx

הפעל את שיטת ההצבה: ∫ −12 cos(u)du

=∫ −12 cos(u)du

∫a·f(x)dx=a·∫f(x)dx :הפעל את תכונת הליניאריות

=−12 · ∫ cos(u)du

∫ cos(u)du=sin(u) :השתמש באינטגרל הבסיסי

=−12 sin(u)

u=−2x החלף בחזרה

=−12 sin(−2x)

−12 sin(−2x) פשט את: 12 sin(2x)

=12 sin(2x)

הוסף את קבוע האינטגרציה

=12 sin(2x)+C

Polynomial Greatest Common Divisor (GCD) Examples

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

gcd x^2-1, x^2+2x+1

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