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MAT135H1 (700)
Lecture

Lams Math Dec 2 for those that don't go to class ;) copied exactly like on the board


Department
Mathematics
Course Code
MAT135H1
Professor
Anthony Lam

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(D".,4, )qrp) hu'.h 135-. Le-clsrerVcrees
e€$" Tn.porta,r-t Tntegra-tton Ecnnolss l_
O $ odxic
Y,
| (r) dx=
'.*l-
@ ra,x = kx+Cr
@J x'd" 1 {:l-
l.+ \
Ao ^r1 co"rstrr* k-
+ C ., 9o. c.nq constoRt f 4 - 1
@Jt+*=
@ Ju*dx =
J^lx\ +c
o(-+ n
U
@ Ja.xdx =fr. *" , fu. o..,j c-oins-ra.v-\-t a ),O (c.+t )
J t," xdx : -cos x+ C
$ asa" = sfqr+C
$ setxdX = *a.nx + c
Jcsc:xcJx=:-(4t x +c.
$ S".1+cn x dx = Secx + C
So.Kcotxdx= -<scX+c-
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@-S ffi dx =oxr-srnx+c
@ *F d, x = * arLtrr^ (€) *' 7 t?y."X
* a,\.qto.A(€)*. ) ,foVrov^-e-
drcsinc*).. J(ann
= * .rcrcLn [*) *.
€"k ttovr : d'
t(a, a /r\' __J-_
= a lor**r 5 Ldi = a'+x
L\eu^'te- ( t , '.
\rLri\\ - )a=.-t dx - f .."". r. (5)*c
( -! - d x is oQten qecitten c!
J f +x' ( d" ^, (Sa"x
J r*x'= , ctvr-c\ ).,[p;. "'
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dx fx\
tal
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i s oGter., rcrit€(\ as { #= ) €+c- '
/J t - x-
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