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by kab
10/01-2007 11:22
Forum: Videregående skole: VG1, VG2 og VG3
Topic: finn g(t)? takk!
Replies: 10
Views: 2191

∫ lnxdx = ∫1* lnxdx

Bruk regel : uv - ∫ lnxdx, der lnx = v og u' = 1 = u = x

∫ lnxdx = xlnx - ∫ x* (1/x)dx, da (lnx)' = 1/x.

∫ lnxdx = xlnx - x + C = x(lnx -1) + C