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derivative of sin(x)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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∫ 3xcos(x)dx

Solution

3(xsin(x)+cos(x))+C

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∫ 3xcos(x)dx

∫a·f(x)dx=a·∫f(x)dx :قم بإخراج الثابت

=3· ∫ xcos(x)dx

فعّل التكامل بالتجزيء: xsin(x)−∫ sin(x)dx

=3(xsin(x)−∫ sin(x)dx)

∫ sin(x)dx=−cos(x)

=3(xsin(x)−(−cos(x)))

بسّط

=3(xsin(x)+cos(x))

أضف ثابت التكامل للحل

=3(xsin(x)+cos(x))+C

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

derivative of sin(x)

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