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arc length formula

curve revolving the curve of an axis

integral of cot(x)
ln(sin(x)

arcsin(u/a)+C

1/sqrt(a) * arctan(u/a)+C

1/a * arcsec(u/a)+C
sin(A)cos(B)
1/2[sin(A+B)+sin(A-B)]
double identity for cos²x
cos²x = (1 + cos(2x)/2
double angle identity sin(2x)
2sin(x)cos(x)
arctan(infintity) approaches..
pi/2
using limits for sin(x)/x
= 1
sin(a)sin(b)
1/2[cos(A-B)-cos(A +B)]
cos(a)cos(b)
1/2[cos(A - B) - cos(A + B)]