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integral of 1/(x(ln(x))^4)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
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∫ 1x(ln(x))⁴ dx

Solution

−13ln³(x) +C

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Solution steps

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∫ 1x(ln(x))⁴ dx

Apply u-substitution: ∫ 1u⁴ du

=∫ 1u⁴ du

Apply the Power Rule: −13u³

=−13u³

Substitute back u=ln(x)

=−13ln³(x)

Add a constant to the solution

=−13ln³(x) +C

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

integral of 1/(x(ln(x))^4)

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