Integral of x/e^(x^2) (substitution)
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Write x/e^(x^2) as x*e(-x^2)
00:10 Rewrite expression
00:16 Substitution: u = -x^2
00:21 Differentiate in both sides
00:35 Substitute -x^2 and x*dx
00:46 Take out the constant -1/2
00:55 Integrate e^u
01:01 Undo substitution: u in terms of x
01:05 Add integration constant +C
01:12 Final answer!
01:18 See more!
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