Intégration  par parties

Calculer les intégrales définies et indéfinies suivantes

∫_0^1^(-x) xx

∫x sin(2 x) x

∫_0^π/2x^2 cos(3 x) x

∫x^2 ln(x) x

∫x^n ln(x) x

∫_0^1 Arctg(x) x

∫_0^1x Arctg^2[x] x

∫x csc^2(x) x

∫ ln(2 x + 1)/x^2x

∫_1^2 (x ln(x))/(x^2 + 1)^2x

∫_0^π/2cos(x) ln(cos(x) + 1) x

∫^x cos(x) x

∫x Arctg(x) x

∫ ln(x + (x^2 + 1)^(1/2)) x

∫sin(ln(x)) x

∫_ (-1)^1 (x^2 + 5 x + 5) cos(2 x) x

∫x^3 Arcsin(1/x) x

Solutions


version imprimable (parties.pdf - 45Ko)
Créé avec Mathematica  (Mars 13, 2006)
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