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Flashcards in Integration Deck (10):
1

Trapezium Rule

1/2 h(y0 + yn + 2(y1 + ... + yn-1))

2

∫ cos x dx

∫ cos x dx = sin x + c

3

∫ e^kx dx

∫ e^kx dx = 1/k e^kx + c

4

∫ e^(kx + b) dx

∫ e^(kx + b) dx = 1/k e^(kx + b) + c

5

∫ tan x dx

∫ tan x dx = ln |sec(x)| + c

6

∫ sin x dx

∫ sin x dx = -cos x + c

7

∫ f'(x) / f (x) dx

∫ f'(x) / f (x) dx = ln |f(x)| + c

8

Integration by Parts

∫ u dv/dx dx = uv - ∫ (u du/dx) dx
Make u = ln x or u = the power of x

9

∫ a^x dx

(ln a) (a^x)

10

∫ ln x

(xln x) - x