Calc 2 Integrals and derivatives

d/dx arcsin(x)

1/sqrt(1-x² )

d/dx arccos(x)

-1/sqrt(1-x² )

d/dx arctan(x)

1/1+x²

d/dx sinx

cos x

d/dx cosx

-sinx

d/dx tanx

sec² x

d/dx sec x

secxtanx

d/dx csc x

-cscxcotx

d/dx cot x

-csc²x

Surface area for a circular shape

Int from a to b(2pi*f(x)*sqrt(1+f’(x)²)

Volume for a circular shape

Int from a to b(pi*f(x)²)

Arclength for a curve

Int from a to b(sqrt(1+f’(x)²)

Pythagorean Identities

sin²x + cos²x = 1

sec²x - tan²x = 1

csc²x - cot²x = 1

Integration by parts formula

int(u*dv) =u*v * int(v*du)

Double Angle

sin(2*theta) = 2sin(theta)cos(theta)

Half Angles

sin²(x) = (1-cos(2x))/2

cos²(x) = (1+cos(2x))/2

d/dx arcsec

1/|x|*sqrt(x² - 1)

d/dx arccsc

-1/|x|*sqrt(x² - 1)

d/dx arccot

-1/1+x²