Fórmulas de Derivadas Fórmulas de Integrais
1 - Dxc= 0 1 - Rudv =uv Rvdu
2 - Dx(u+v) = Dxu+Dxv2 - Rundu =1
n+ 1un+1 +C; n 6=1
3 - Dx(uv) = uDxv+vDxu3 - R1
udu = ln juj+C
4 - Dxu
v=vDxuuDxv
v24 - Reudu =eu+C
5 - Dxf(g(x)) = f0(g(x)) g0(x)5 - Raudu =1
ln aau+C
6 - Dxun=nun1Dxu6 - Rsin udu =cos u+C
7 - Dxeu=euDxu7 - Rcos udu = sin u+C
8 - Dxau=auln aDxu8 - Rsec2udu = tan u+C
9 - Dxln juj=1
uDxu9 - Rcsc2udu =cot u+C
10 - Dxlogajuj=1
uln aDxu10 - Rsec utan udu = sec u+C
11 - Dxsin u= cos uDxu11 - Rcsc ucot udu =csc u+C
12 - Dxcos u=sin uDxu12 - Rtan udu =ln jcos uj+C
13 - Dxtan u= sec2uDxu13 - Rcot udu = ln jsin uj+C
14 - Dxcot u=csc2uDxu14 - Rsec udu = ln jsec u+ tan uj+C
15 - Dxsec u= sec utan uDxu15 - Rcsc udu = ln jcsc ucot uj+C
16 - Dxcsc u=csc ucot uDxu16 - Z1
pa2u2du = sin1u
a+C
17 - Dxsin1u=1
p1u2Dxu17 - R1
a2+u2du =1
atan1u
a+C
18 - Dxcos1u=1
p1u2Dxu18 - Ru
a2+u2du =1
2ln (u2+a2) + C
19 - Dxtan1u=1
1 + u2Dxu19 - Z1
upu2a2du =1
asec1u
a+C
20 - Dxsec1u=1
upu21Dxu20 - Z1
a2u2du =1
2aln
u+a
ua+C
21 - Dxsinh u= cosh uDxu21 - Z1
pu2a2du = ln u+pu2a2+C
22 - Dxcosh u= sinh uDxu22 - Rxdx
(ax +b)2=b
a2(ax +b)+1
a2ln jax +bj+C
23 - Dxtanh u= sech2uDxu23 - Rxdx
ax +b=x
ab
a2ln jax +bj+C
24 - Dxcoth u=csch2uDxu24 - Rx2dx
(ax +b)2=ax +b
a3b2
a3(ax +b)2b
a2ln jax +bj+C
25 - Dxsech u=sech utanh uDxu25 - Rdx
(ax +b)2=1
a(ax +b)+C
26 - Dxcsch u=csch ucoth uDxu26 - Rdx
x(ax +b)=1
bln x
ax +b+C
27 - DxRu
af(t)dt =f(u)Dxu27 - Rln udu =uln uu+
