Integral of x/e^(-x^2) (substitution)
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Write x/e^(-x^2) as x*e(x^2)
00:09 Rewrite expression
00:15 Substitution: u = x^2
00:20 Differentiate in both sides
00:31 Substitute x^2 and x*dx
00:33 Rewrite expression
00:40 Take out the constant 1/2
00:46 Integrate e^u
00:52 Undo substitution: u in terms of x
00:57 Add integration constant +C
01:04 Final answer!
01:09 See more!
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