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integral of e^{2x}

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

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d⁵dx⁵ (1e^2x−1 )

Solution

32e^2x(−26e^2x−66e^4x−26e^6x−e^8x−1)(e^2x−1)⁶

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d⁵dx⁵ (1e^2x−1 )

ddx (1e^2x−1 )=−2e^2x(e^2x−1)²

=d⁴dx⁴ (−2e^2x(e^2x−1)² )

ddx (−2e^2x(e^2x−1)² )=−4e^2x(−e^2x−1)(e^2x−1)³

=d³dx³ (−4e^2x(−e^2x−1)(e^2x−1)³ )

ddx (−4e^2x(−e^2x−1)(e^2x−1)³ )=8e^2x(−4e^2x−e^4x−1)(e^2x−1)⁴

=d²dx² (8e^2x(−4e^2x−e^4x−1)(e^2x−1)⁴ )

ddx (8e^2x(−4e^2x−e^4x−1)(e^2x−1)⁴ )=−16e^2x(−11e^2x−11e^4x−e^6x−1)(e^2x−1)⁵

=ddx (−16e^2x(−11e^2x−11e^4x−e^6x−1)(e^2x−1)⁵ )

ddx (−16e^2x(−11e^2x−11e^4x−e^6x−1)(e^2x−1)⁵ )=32e^2x(−26e^2x−66e^4x−26e^6x−e^8x−1)(e^2x−1)⁶

=32e^2x(−26e^2x−66e^4x−26e^6x−e^8x−1)(e^2x−1)⁶

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

integral of e^{2x}

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