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

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integral of (10)/((x-1)(x^2+9))

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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`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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∂²∂ y∂ x (sin(x²y²))

Solution

2y(−2x³y²sin(x²y²)+2xcos(x²y²))

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∂²∂ y∂ x (sin(x²y²))

∂ ∂ y (sin(x²y²))=cos(x²y²)· 2x²y

=∂ ∂ x (cos(x²y²)· 2x²y)

∂ ∂ x (cos(x²y²)· 2x²y)=2y(−2x³y²sin(x²y²)+2xcos(x²y²))

=2y(−2x³y²sin(x²y²)+2xcos(x²y²))

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