Calc 2 Flashcards
1
Q
Double angle Identity
A
Sin²x = ½(1-cos2x)
2
Q
Complete the square
x²-6x+13
A
Half coefficient squared
(x²-6x+9)-9+13
(x-3)²+2²
3
Q
Expand with trig identity
Cos³x
A
sin²x*cos²x=1
cos²x=1-sin²x
cosx*cos²x
cosx(1-sin²x)
cosx-cosx*sin²x
cosx*sin²x
u=sinx
u²du
4
Q
Length of curve
A
_________
√1+f¹(x)²
5
Q
Integrate by parts
A
uv-∫(vdu)
find derivative of u
and antiderivative of v
6
Q
x²+a
A
x=atan∅
7
Q
x²-a²
A
x=asec∅
8
Q
a²-x²
A
x=asin∅
9
Q
∞
∫ f(x)dx
5
A
lim b→∞ f(x) dx
Leave b in answer
