Mathematics > EXAM > AS AND A LEVEL MATHEMATICS B (MEI) (All)

Arithmetic series 1 1 2 2 ( ) {2 ( 1) } n S n a l n a n d = + = + − Geometric series (1 ) 1 n n a r S r − = − for 1 1 a S r r = − Binomial series 1 2 2 1 2 ( ) C... C C ( ) n n n n n n n n r r n r a b a a b a b a b b n − − − + = + + + + + + K K ¥ , where ! C C !( )! n r n r n n r r n r = = = − ( ) 2 ( 1) ( 1) ( 1) (1 ) 1 1, 2! ! − − − + + = + + + + + K K K ¡ n r n n n n n r x nx x x x n r Differentiation f ( ) x f ( ) x tan kx 2 k kx sec sec x sec tan x x cot x 2 −cosec x cosec x −cosec cot x x Quotient Rule u y v = , 2 d d d d d d u v v u y x x x v − = Differentiation from first principles 0 f ( ) f ( ) f ( ) limh x h x x → h + − = Integration f ( ) d ln f ( ) f ( ) x x x c x = + ( ) ( ) 1 1 f ( ) f ( ) d f ( ) 1 n n x x x x c n + = + + Integration by parts d d d d d d v u u x uv v x x x = − © OCR 2019. You may photocopy this page. Page 3 Created using ExamBuilder Small angle approximations 1 2 2 sin , cos 1 , tan − where θ is measured in radians Trigonometric identities sin( ) sin cos cos sin A B A B A B = cos( ) cos [Show More]

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