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integral from-5 to 5 of (4x)/(2-8x^2)

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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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∫₋₅⁵4x2−8x² dx

Solution

diverges

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∫₋₅⁵4x2−8x² dx

Find undefined (singularity) points: x=12 , x=−12

If exist b, a<b<c, f(b)=undefined, ∫_a^c f(x)dx=∫_a^b f(x)dx+∫_b^c f(x)dx

=∫₋₅⁻¹²4x2−8x² dx+∫₋₁₂¹²4x2−8x² dx+∫₁₂⁵4x2−8x² dx

∫₋₅⁻¹²4x2−8x² dx=diverges

If part of the expression diverges, then entire expression diverges

=diverges

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

integral from-5 to 5 of (4x)/(2-8x^2)

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