Page 132 - Math Grade 12 (Basic)

PROEUS DARA

~l':'ilf12 v(t) = lim /1s = S'(t)
!lt -> 0 !1t

2
&S'U S(t) = = j{96- 32t)dt = 96t- 16t + c , c E IR

16?+96t+l8

S(t)= 16?+96t+l8'1

~ Q1 I '1:) '~c::fl 2
tnru t = 3 JSl9 &!':'it:f12n'iH1HS~f11:tHu9l':'i S(3)=-16.3 +96.3+18 =162m
S1 "'""
l

., dj beO [S")g Jkdx = kx+c , cEIR

., dj k _. 0 tSlg Jkf(x)dx = kJf(x)dx

"' JU(x) ± g(x))dx = Jf(x)dx ± Jg(x)dx

., Jdx = x+c , cEIR

., Jxndx = xn+l +c , cEIR ¢-1)
n+l
1
"' J;;dx = £n !xl + c , c E IR
1 1
" J-dx = - - + c c E IR
x2 x '
"' J ~dx = 2/X+c , cEIR

" Jex dx = ex+ c , c E IR

Jsinxdx = - cosx + c , cEIR

" J cosxdx = sinx + c , c E IR

127