Final Flashcards
1
Q
Average Value
A
1/(b-a) int f(x)dx
2
Q
int by parts
A
uv-int vdu
3
Q
cos^2x
A
(1/2)(1+cos2x)
4
Q
sin^2x
A
(1/2)(1-cos2x)
5
Q
sin2x
A
2sinxcosx
6
Q
arc length
A
int (1+(fâ(x))^2)^(1/2) dx
7
Q
surface area
A
int 2pi r ds ds=arc length
8
Q
hydrostatic force
A
pgAd
9
Q
dy/dx parametric
A
(dy/dt)/(dx/dt)
10
Q
Area parametric
A
int g(t)fâ(t)dt
11
Q
arc length parametric
A
int ((dy/dt)^2+(dx/dt)^2)^(1/2) dt
12
Q
polar x
A
rcos theta
13
Q
polar y
A
rsin theta
14
Q
Area polar
A
int (1/2)r^2 d theta
15
Q
Arc length Polar
A
int (r^2+(dr/d theta)^2)^(1/2)
16
Q
dy/dx polar
A
((dr/d theta)sin theta + rcos theta)/((dr/d theta)cos theta - rsin theta)
