Page 94 - Math Grade 12 (Advance)

PROEUS DARA

I 0 I 0';) '\:) I
~916inrt.n6iti:!lru I(x) = 1200 40x '1 ~rt.nm13wJ13L'limt~tsm~~916i '1 ~rt.nm13wJ13

~um~d~s~drnRti.HfUn!fn d5ti.5~ti.5n9n13ruumu~d 300 t{Jrn '1
L,; "' 6V n uui.J' n uui.J'w <V
I
x3
"'
"
v
8. n. ~n.n mmt'H:lms~fil'liff'h':HiS~13s y = - +- ""
t1 x = 1 &94 x = 3
G ll li 1 3 4x
~. 2'li'Hlffi f(x) = !ce'+e-x) '1 um~d'liHnHUti:!ltsus;tlnn.nn B tmru1hshumu
2 4 lJ if 1
mh f Uitlthli]u A(a, f(a)) f1:Jrn a>O '1 'TI1]uwJuLuf~h&s~~~ AB shLuf~h
w~S~fil'Uff'lh f tslfHGflg'tjGfl~ru5~ X = 0 Sh X= a '1
~ G N ~
u
'o '3 e;_.u o
9. ~nt~LR£Ul s tst'1t1:Jbli'HlSfil r '1
? ruunrifinn 4
0 "'

1. ~ n.n m ffih tnLm rn21 h 'Lm13 t s g
n. ~(4-i)(2+x)"dx ~. r6 2 X dx
L x -6x+ 8
~. II 2 x2 dx

o x -x-2 m. r x:rxldx
h. I: cosmxcosnxdx (m, n E IN) u. JI _x_dx
2
o 1 + 3x
1t 1t
2
~. I2 sin2x dx d. I: x cos xdx '1
2
2
0 3 + cos x
2. ~n.nm
n. 1t -at t (a :t= 0) ~. r sin(n:1nx) dx
e cos2-dt
f 0 2 I X
f 0 e-x + e' + 2 dx m. 0 (4-x --./1-x-)dx
~. -.!ffl6 X j 2 r.----z
f
2
2
h. I~ dx
2
J4-x
3
1 2 2 2
0
2 2x
~.J (x+a)dx (a> 0) x -x+ 1 dx '1
3. ~n.n m'tfl:.l ti.5 rns;u1 ~ nR n.n ~rns n ~~ rnd1 mnn~ x'ox ~s h~ f1:J rn~ n.n t i:!l ru~mfinmh
u n ~ 1 "-" if 4 s L.J
"'
2
""
"'
~S~13S f(x) = x+6 Sh g(x) =X tbli(HGflg XE [-2, 3] '1
1 6V
e»e ';)\;) cr r:::;---:
C»' Q 0 1 c::r.
4. ~n.nm'Hl:.lfUrnnm~s;nn.nnrnstlhJrntsto~n.nti:!lruum.nnmh~s~13s y = "'3-x
u n ~ 4 s 1
ShHnJ x'ox , (-1::; x::; 2) ~1 ~HCU. x'ox '1

89