integrate cosx
sinx
integrate sinx
-cosx
integrate coshx
sinhx
integrate sinhx
coshx
integrate tanx
ln(secx)
integrate tanhx
ln(coshx)
integrate 1 / (x^2 + a^2)
1/a tan^-1(x/a)
Integration by Parts
integral of u dv/dx dx = uv - intagral of v du/dx dx
integrate 1 / sqrt(x^2 + a^2)
sinh^-1(x/a)
integrate 1 / sqrt(x^2 - a^2)
cosh^-1(x/a)
differentiate cosecx
-cosecxcotx
differentiate secx
secxtanx
Differentiate cotx
-cosec^2(x)
differentiate sin^1x
1 / sqrt(1-x^2)
differentiate cos^1x
-1 / sqrt(1-x^2)
differentiate tan^1x
1 / 1+x^2
quotient rule
d/dx (u/v) = (v du/dx - u dv/dx) / v^2