Trig Derivatives

d/dx(sinx)

cosx

d/dx(cosx)

-sinx

d/dx(tanx)

sec²x

d/dx(secx)

secxtanx

d/dx(cscx)

-csc(x)cot(x)

d/dx(cotx)

-csc²x

Derivative of arcsin(x)

1/(sqrt1-x^2)

Derivative of arccos(x)

-1/(sqrt1-x^2)

Derivative of arctan(x)

1/(1+x^2)

Derivative of arccot(x)

-1/(1+x^2)

Derivative of arcsec(x)

1/lxl(sqrtx^2-1)

Derivative of arccsc(x)

-1/lxl(sqrtx^2-1)

∫sinxdx

-cos(x) + c

∫cosxdx

sin(x) + c

∫tanxdx

-ln|cosx| + c

∫cscxdx

-ln(|csc(x)+cot(x)|) + c

∫secxdx

ln(|sec(x)+tan(x)|) + c

∫cotxdx

ln|sin(x)| + c

∫sec^2(x)dx

tan(x) + c

∫csc^2(x)dx

-cot(x) + c

∫cscxcotxdx

-cscx + c

∫secxtanxdx

secx + c

∫a^u du

(1/ln a) a^u +C

∫du/√(a²-u²)

arcsin(u/a) + c

∫du/(a^2 + u^2)

(1/a)arctan(u/a) + c

∫du/u√u²-a²

(1/a)arcsec(u/a) + c