Déterminer les primitives pour chacune des fonctions suivantes

∫ (2 x + 3)/(2 x + 1) x

∫ (x + 1)^2x       t = x + 1

∫1/(2 x + 3) x

∫x/(x^2 + 1)^(1/2) x

∫ (ln(x) + x^(1/2))/xx

∫x/(x^2 + 1) x

∫x/(x^2 - 5) x

∫x/(2 x^2 + 3) x

∫x/(1 - x^4)^(1/2) x

∫x^2/(x^6 + 1) x

∫^(-2 x) x

∫ (-^(-x) + ^x) x

∫^(x^2 + 1) xx

∫7^x^2 xx

∫^(-x) (-1 + ^x) x

∫^x/(-1 + ^x) x

∫cos(5 x) x

∫x sec^2(x^2) x

∫ tg(x) x

∫^(-x^2) xx

∫ (1 - sin(x))/(x + cos(x)) x

∫^sin(x) cos(x) x

∫^cos(x) sin(x) x

∫ (x^2 + x) (2 x^3 + 3 x^2 + 5)^6x       t = 2 x^3 + 3 x^2 + 5

∫3 sin(3 x) x

∫1/((4 x + 2)^2 + 1) x

∫x cos^2(x) sin(x) x

∫ (x - 3)^7 xx       t = x - 3

∫2 x cos(x) x

∫ (3 x)/(x + 3)^(1/2) x

∫ -x^2/(x^2 + 1)^2x

∫ (2 x^2 - x) (4 x^3 - 3 x^2 - 7)^4x       t = 4 x^3 - 3 x^2 - 7

∫1/(1 - 9 x^2)^(1/2) x

∫ Arccotg^2[x]/(x^2 + 1) x

Solutions

version imprimable (exdivers.pdf - 57Ko)
Créé avec Mathematica  (Mars 13, 2006)
Apple, the Apple logo and Macintosh are registered trademarks of Apple Computer, Inc.
All other trademarks and names belong to their rightful owners.Designed, developed and maintained entirely on Mac OS X .