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Core Mathematics 2

Formulae
Exponentials and Logarithms log
log =
log
Sequences and Series = -1

(1- )
= 1-

= 1- , (|| < 1)
!
(
) = !(-)!
( + ) = ( 0
) 0 + (1
)-1 1 + + (
)- + + (…

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Notes Tips
Algebra and
()
= () = 0; factor ( - ) To divide polynomials:
-
Functions () Algebraic long division
-
= ( ) = 0; factor ( - )
()
-
= () = ; remainder ()
()
-
= ( ) = ; remainder ( )…

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=
1
= 2 2
1
= 2 2 ( - sin )

sin
= sin = sin
= 2 + 2 - 2 cos
2
1
= sin
2
sin = 0 + , - , ...
cos = 0 + , 2 - , ...
tan = 0…

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Integration =

Remember to draw a graph


=
(1 - 2 )
-
=



2 [0 + 2(1 + 2 + + -1 ) + ]

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