calc 2 final

a² - x²

sin

a² + x²

tan

x² - a²

sec

integral sinx

-cosx

integral cosx

sinx

integral secx

ln|secx + tanx|

integral tanx

-ln|cosx|

integral cscx

-ln|cscx + cotx|

integral cotx

ln|sinx|

integral sec³x

1/2(ln|secx + tanx| + secxtanx)

integral b/(x ± a)

bln|x±a|

sin or cos odd

break off sin²x or cos²x, PI, u-sub

sin and cos even

use half-angle identities

sec even

break off sec²x, turn all sec into tan, u-sub (u = tanx)

sec odd, tan odd

break off secxtanx, turn all tan into sec, u-sub (u = secx)

sec odd, tan even

turn all tan into sec, foil out sec, integrate w/IBP

csc even

break off csc²x, turn all csc into cot, u-sub (u = cotx)

csc odd, cot odd

break off cscxcotx, turn all cot into csc, u-sub (u = cscx)

csc odd, cot even

turn all cot into csc, foil out csc, integrate w/IBP