1Area Between Curves, X axis
$A = \int_a^b [f(x)-g(x)] dx$
2Area Between Curves, Y axis
$A = \int_c^d [f(y)-g(y)]dy$
3Disk Method, X Axis
$V = \pi \int_a^b [R(x)]^2 dx$
4Disk Method, Y Axis
$V= \pi \int_c^d [R(y)]^2 dy$
5Washer Method, X Axis
$V = \pi \int_a^b [R(x)^2 - r(x)^2] dx$
6Washer Method, Y Axis
$V = \pi \int_c^d [R(y)^2 - r(y)^2] dy$
7Shell Method, X axis
$V = 2\pi \int_a^b p(x)h(x) dx$
8Shell Method, Y axis
$V = 2\pi \int_c^d p(y)h(y) dy$
9Arc Length of a Curve, X axis
$s = \int_a^b \sqrt{1 + [f'(x)]^2]}dx$
10Arc Length of a Curve, Y axis
$s = \int_c^d \sqrt{1 + [g'(y)]^2]}dy$
11Surface Area of a Surface of Revolution, X Axis
$s=2\pi \int_a^b r(x) \sqrt{1+[f'(x)]^2}$
12Surface Area of a Surface of Revolution, Y Axis
$s=2\pi \int_c^d r(y) \sqrt{1+[g'(y)]^2}$
13$\cos^2x=\frac{1}{2}+\frac{1}{2}\cos{2x}$
14$\sin^2x=\frac{1}{2}-\frac{1}{2}\cos^2{x}$
15$W = \int_{x=a}^{x=b} f(x) dx$
16$W = \int_{y=a}^{y=b} f(y) dx$