VI - x

d a* — a* lognat (a) d x

d arc tang x

d arc cotg x

d lognat x = 7^

FORMULES INTÉGRALES X = a-|-bx

/X “ T ,og X

COLLECTION DE FORMULES ANALYTIQUES X = a+bx

/s’dx x’ ax . a’ , „

~xr = 2b“ P+PIogX

xmdx x" a r x",dx

/xm a x xm a p X — bra b /

/dx

bX

(n 1) bX"

= râ+iWx

/.x'dx /x’ 2a'\ 1 2a. v

/-x^- = lT--bï-)x-bïl0Sx

/.x”dx x" ara ^ x"-' c

/ X1 “(m-l)bX (m — 1) \>J X1

✓•dx

abX1

/.x’dx |2ax , 3a’\ 1 , 1 , v

fsr = l-p-+ w)x>+ p log x

dx

y tx

= Tl°gT

y px

dx

y px

2ax* 1 a1 x

y. dX

b r dx

TJ x»-‘X

TT

X =a + bx

. dx , 1 , 2b\ 1 , 2b, X

f x’X* — ( ax ^ a1) X + a1 °g x

VT

/xdx

/x’dx V'X

dx

JL v^x

= (4- X*-- f aX’ + a’X-a’)i±^

•|0e .X V I O 81 a est P08,tlf>

xVX V« +

tapg

~~ V - « Rr

dx

ax

2a J xVX

r d x / 1 3 b \ 3 b1 r dx

JxWX~ \2ax* 4&'x)V + Hsl'J TV%

/xdx

^x*dx

b VX

= (x + ^bÿx

COLLECTION DE FORMULES ANALYTIQUES X = a -f b x

dx

r dx / 1 , 3b\ 1 3b r

J ï ~ lax+a>/y/X 2a»y

y’v'Xdx

/xy/Xdx

/xVXdx

/^dx

/^dx

/^dx

/X*dx

f xV dx /x*X* dx

/Tdx

xy/X

= (IM«)nr

(-fX^iaX+^^T^

V/X , b dx x ^ 2 7 xy/X

Xy/X , by/X b1 r dx 2ax’~'4ax 8 a./ x y/ X

/Vdx

/.xdx ^ V\

- H-x+*)2vTt+.-/^

E.dx 3b rXÎdx a x T 2 a J x

= (-rX-ia)

X = a-f bz

1 r 3 , VX — Va , ra A V3.VX i

“ s s loS 3 + V3.arctang , ,

Va L Vx VX+2V a ’

/VXdx

3 XVX

/VX‘ dx

3Xv'X ~ 5b

J XVÏ

— ± v^a ^ arc tang \/ a , si a et b ont les mêmes

signes ;