IGCSE further pure maths: formula to learn单词卡 | Quizlet

coordinates of the point dividing line joining in ratio m : n

Integration: cos ax

Integration: e^ax

Area between curve and x-axis

Area between curve and y-axis

Area between g(x) and f(x) =

Volume of revolution

Radian measure: length of arc

rθ

Radian measure: area of sector

cos^2 + sin^2

= 1

area of triangle

Integration: x^n

Integration: sin ax

Differentiation: e^ax

log(a), xy =

= log(a) x + log(a) y

log(a) x/y =

= log (a) x - log(a) y

log (a) x ^k =

= klog (a) x

log(a) 1/x =

= -log(a) x

log(a) a =

= 1

Log (a) 1

= 0

log(a) 1

=0

log(a)b =

1/ log(b) a

a + B

=-b/a

ab

= c/a

Quadratic with roots alpha and beta

x^2 - (a+b)x + ab = 0

Arithmetic series nth term =

= l = a+(n-1)d

Geometric series nth term

= ar^(n-1)

The gradient of the line joining two points (x1, y1) and (x2, y2)

Y2-y1/x2-x1

distance d between two points

d^2 = (x1-x2)^2 + (y1 - y2)^2

Differentiation: Function x^n

nx^(n-1)

Differentiation: sin ax

acos ax

Differentiation: cos ax

-asin ax

Differentiation: f(x)g(x)

f'(x)g(x)+f(x)g'(x)

Differentiation: f(g(x))

f'(g(x))g'(x)

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