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Løs integralet
Posted: 20/04-2012 16:56
by Lene 11
Hjelp??
2
[symbol:integral] (2-x)e^1/2x dx
0
Posted: 20/04-2012 17:04
by Nebuchadnezzar
http://i.imgur.com/UWnxf.png
[tex]\int_0^2 (2-x) e^{x/2}\mathrm{d}x \ \stackrel{u=x/2}{=} \ 4 \int_0^1 (\underbrace{\,1-u\,}_u) \,\cdot\, \overbrace{\,e^{u}\,}^{v^\prime} \, \mathrm{d}u \, = \, 4 \, \left( \, \left[ (1-u)e^u\right]_0^1 \, - \, \int_0^1 (1-u)^\prime e^u \, \mathrm{d}u \, \right)[/tex]