Chapter 23 - Integration 2 (Pure) Flashcards
1
Q
∫ (ax+b) ⁿ =?
A
∫ (ax+b) ⁿ = 1/ a (n+1) (ax+ b) ⁿ + C
2
Q
∫ 1/x = ?
A
∫ 1/x = ln [x] + c
3
Q
∫ 1/ ax + b = ?
A
∫ 1/ ax + b = 1 / a ln [ ax+ b ] + C
4
Q
∫ e^ax dx = ?
A
∫ e^x dx = 1/a e^x + c
5
Q
∫ e^ (ax + b ) = ?
A
∫ e^ (ax + b ) = 1/a e^(ax + b ) + C
6
Q
∫ sin ax dx = ?
A
∫ sinx dx = - 1/ a cosx + c
7
Q
∫ cos ax dx = ?
A
∫ cosx dx = 1/a sin x + c
8
Q
∫ sec² x = ?
A
∫ sec² x = 1/a tan ax + c
9
Q
∫ f’(x) / f(x) = ?
A
∫ f’(x) / f(x) dx = ln [f(x)] + c
10
Q
∫ du/dx f’(u) dx = ?
A
∫ du/dx f’(u) dx = f (u) + C
11
Q
the double angle formula, for sin(2A) = ?
A
sin(2A) = 2 sin A cos A
12
Q
the double angle formula, for cos(2A) = ?
A
cos(2A) = cos²A - sin²A
13
Q
the double angle formula for tan 2A = ?
A
tan 2A = (2 tan A)/ (1- tan²A)
14
Q
what’s ‘sexy tans’ ?
A
sec²x = 1 + tan²x
15
Q
what’s ‘cosey cots’ ?
A
cosec² x = 1 + cot² x
