integral memorizations

arcsin(x)+c

∫1/√(1 - x²)

arccos(x)+c

∫-1/√(1 - x²)

arctan(x)+c

∫1/(1+x²)dx

arcsec(x)+C

∫1/√|x|(x²-1)

arccsc(x)+C

∫-1/√|x|(x²-1)

arccot(x)+C

∫-1/(1+x²)dx

∫cotxdx

ln |sinx|+c

∫tanxdx

ln |secx|+C or -ln|cosx|+C

∫secxdx

ln |secx + tanx| +C

∫cscxdx

ln Icscx - cotxI + C

Error formula for trap rule

|E| ≤ (b-a)³/12n² * | max |f''(x)||

Error formula for simpsons rule

|E| ≤ (b-a)⁵/180n⁴ * | max |f''(x)||

d/dx coshx

sinhx

d/dx sechx

-sechxtanhx

d/dx tanhx

-sech²x

sinhx (what is it?)

1/2 * (e^x - e^-x)

coshx (what is it?)

1/2 * (e^x + e^-x)

arctanx integration