2023 ISC Further Studies Maths Information booklet

INTERNATIONAL SECONDARY CERTIFICATE: FURTHER STUDIES MATHEMATICS: PAPER I – Page i of iv
INFORMATION BOOKLET

INFORMATION BOOKLET

Algebra

–b ± b 2 – 4ac  x ; x 0
x= x =
2a − x ; x < 0
n n
n(n + 1) n 2 n
 1= n
i=1
i =
i=1 2
= +
2 2

n a (1 − r n )
Sn = 2a + ( n − 1) d  Sn =
2 1− r


z = a+ bi z* = a − bi


 A
ln A + ln B = ln (AB) ln A – ln B = ln  
B

logb x
ln An = n ln A loga x =
logb a

Calculus

b
 b−a  n
b
 x n+1 
  f ( xi )   , n  −1
n
Area = lim  x dx = 
n →  n 
i=1 a  n + 1 a

f(x + h) – f(x) dy dy dt
f'(x) = lim = ×
h →0 h dx dt dx

 f' ( g(x)).g'(x)dx = f(g(x))+ c
 f(x).g'(x)dx = f(x).g(x) −  g(x).f'(x)dx + c
b
f(x )
xr +1 = xr − r V =  y 2dx
f'(xr ) a




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