Integration Flashcards
1
Q
Trapezium Rule
A
1/2 h(y0 + yn + 2(y1 + … + yn-1))
2
Q
∫ cos x dx
A
∫ cos x dx = sin x + c
3
Q
∫ e^kx dx
A
∫ e^kx dx = 1/k e^kx + c
4
Q
∫ e^(kx + b) dx
A
∫ e^(kx + b) dx = 1/k e^(kx + b) + c
5
Q
∫ tan x dx
A
∫ tan x dx = ln |sec(x)| + c
6
Q
∫ sin x dx
A
∫ sin x dx = -cos x + c
7
Q
∫ f’(x) / f (x) dx
A
∫ f’(x) / f (x) dx = ln |f(x)| + c
8
Q
Integration by Parts
A
∫ u dv/dx dx = uv - ∫ (u du/dx) dx
Make u = ln x or u = the power of x
9
Q
∫ a^x dx
A
(ln a) (a^x)
10
Q
∫ ln x
A
(xln x) - x
