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Integration

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azerty tyr
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0% found this document useful (0 votes)
35 views11 pages

Integration

Uploaded by

azerty tyr
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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O

+
2
dr
& Spi + 3x 1)
C
3
2x +
-
I -

-
-

② S(-c + 45 3)d
-
= - + 4 -
xx + 2
O

O

" ( x + 2) du
((x
-
-

3 2
-
=
-

((2x Edu -
((2x -)
=
-
da

3/ 12
3 +
2. .
= -

3/r Y
=
A -
- xx + c

& S-9)dn =
/(2 9) di

5/2
9x + c

-
=

5/
I 2 R - 9x + C
5
-
① (cdn = n

②J dr = en(x) + c

kx + C
②Skda =

④ Jedu = e + C
C G
O O

② Sae" -3) da =
2e -

3 +
c

e+
③ S( +
< -

c")da = 4 . ((x) 2
+ -
c

② /De-) d =
/De - -
Y
/d se
E
+
/(c - -
=
=

= zek +
2x +

-
-

⑦ ((k + 1- te"),

=
t .
en()
+
-
/coside Sinc + C
(since) = coss : =

du
Since i /Since -cos + C

* (-coss)
=
=
:

sec (sedn tanc


d
:
(tanx)
=
=

cos /coscde cotec +


(cot)
=
-

tank)secktancdn = set o

(sex) = sec

& Ecose(k) =
Coseccotic (Cose coti<do =
-
cos) + 2

da
-
-
- -

=1.
a

en a

⑮ou =

/3"du =
+

Sy"do =
+
C O G
O O

② /(3 sinx-2) da =
-
3cos1 - 2x + C
-
-

③ S[41 -
2cos) du = 4 .
2
Z
-
Sinc + C

C
=
2s 2 sinc +
-

e+ c
② /(Sinc-Gcos + e) =
-
cos -
2 sinc +

& (G-10sinc)dm = /(b - Iosin) da

Y
C

= 10 Cos +
+

-
-


((
de
se
=
S(t(c -x) + sec] du

=
+( -

1) +
dax + 2

-
O C

O ② O

(6du Gx + C
a

=
= G : y =

Sc =
-

② d = y = C

(n(x) + c

/(2 j)du 2x


= -

:
y
-

① out =
Sinc + flos: y = Spin + acOx) du
Sinc + C
=
= cos + 2

① =
2x2 - 5 +x =:
y = (( -
5 + x)du

=
(e -
5x + +

-
O G C

O O O

x
② 14 "du
by
C
=
+

③ S-enz)du =
S-in) du
+
= 31nk) -

en)

& /(5" -
2x)")da = -2. + c

& / Cose.cotc du = -cos + C

② /(Cosk + cose) du =
since-cot + <

① -exta S
dr

= S(Pih-seds) da

-
3
+ c

4x Ease
=
-

-
/ Sec + C
-
=
-

t
-
O

O O C

O G

② /(2et -
4 sint) d =
2et + 4 cost + c

& /(Se Isinc) du tax -2 cos


c
+ = +

do o
((0-sino)
cosc + C
+

=
Z

/( * -sero) do
two +
⑦ 21n101 -

do
& Sacoseo + 3 cosecocoto)
3 cose + C
=
= 2 cota -

-
-

[
① Staro do =
It tano = seco

tano = seco-

=
/(c -
1) do
tano -
0 + C
=

-
-
-

[
Scorc do + CoFe = cossio

do
cotc coseco -1
S(cosc-1)
=

= cota - 0 + (
-

S (stax + 2Cots) do

(sta) (2cox)
+ PcFx] da
= Statio + 2

4 Gosex-1)] du
=
((9(sex-1) + 12 +

4 cosi 1) do
/Casei
-

+
=

+C
4 Cotx
- x
= 9 fenx
-

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