INTEGRAIS (algumas)

1 du u c= +2 1

, 11

nn uu du c n

n

+

= + +

3 += Cunu

dul

4 >+= 10, ac, ana

aduau

u

l

5 u ue du e c= +6 sen cosu du u c= +7 cos senu du u c= +8 += Cuntgudu secl9 += Cusennduu cotg l10 ++= Ctguunudu secsec l11 += Cguecunecudu cotcoscos l12 sec tg secu u du u c= +13 cosec cotg cosecu u du u c= +14 2sec tgu du u c= +15 2cosec cotgu du u c= +22 += Cxaxnxaxn )()( ll

y = au y' = u.au.ln a y = ex y' = ex

= + Cax

ax

a

edxey = eax y' = a.eax y = eu y' = u.euy = sen(x) y' = cos(x)

Ca

axsendxax +=)()cos(y = sen(ax) y' = a.cos(ax)

y = sen u y' = u.cos uy = cos(x) y' = sen(x)

Ca

axdxaxsen +=)cos()(y = cos(ax) y' = a.sen(ax)

y = cos u y' = u.sen uOnde: u e v so funes derivveis de x, c e n, a so constantes reais