Integral of e^(1/x)/x^4 (substitution)
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00:00 Rewrite expression
00:15 Substitution: t=1/x
00:23 Differentiate in both sides
00:40 Substitute 1/x, 1/x^2 and (1/x^2)dx
01:11 Rewrite expression
01:17 Parts: u=t^2 and dv=(e^t)dt
02:13 Rewrite expression
02:29 Parts: u=t and dv=(e^t)dt
03:29 Integrate e^t
03:48 Rewrite expression
04:02 Undo substitution: t in terms of x
04:18 Rewrite expression
04:40 Add integration constant +C
04:50 Final answer!
04:57 See more!
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