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integral of x^2ln(5x)

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

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
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∫ x²ln(5x)dx

Solution

13 x³ln(5x)−x³9 +C

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∫ x²ln(5x)dx

Apply Integration By Parts: 13 x³ln(5x)−∫ x²3 dx

=13 x³ln(5x)−∫ x²3 dx

∫ x²3 dx=x³9

=13 x³ln(5x)−x³9

Add a constant to the solution

=13 x³ln(5x)−x³9 +C

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

integral of x^2ln(5x)

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