all calc stuff

General term of e^x

General term of sinx

general term of cos x

general term of 1/(1-x)

Lagrange error bound

derivative of sinx

cosx

derivative of cosx

-sinx

derivative of e^x

e^x

derivative of lnx

1/x

derivative of tanx

sec²x

derivative cotx

-csc²x

derivative of secx

secxtanx

derivative of cscx

-cscxcotx

derivative of a^x

a^xlna

derivative of log_ax

1/xlna

derivative of arcsinx

1/√(1-x²)

derivative of arctanx

1/(1+x²)

derivative of arcsecx

1/|x| √(1-x²)

∫c dx

cx + C

∫xⁿdx

∫cosx dx

sinx+ C

∫sec²x dx

tanx+C

∫secxtanx dx

secx + C

∫sinx dx

-cosx + C

∫csc²x dx

-cotx + C

∫cscxcotx dx

-cscx + C

∫a^kx dx

∫e^x dx

e^x + C

f(b)

∫tanx dx

∫secx dx

∫cotx dx

∫cscx dx

Euler method

IVT

IF f is continuous on [a,b] AND # is between f(a) and f(b), there exists a k∈(a,b) such that f(k) = #

MVT

IF f is continuous and differentiable on (a,b), then there exsists a k∈(a,b) such that f’(k) = (f(b)-f(a))/(b-a)

Disk method

Washer method

Curve Length