Some notes:
-Odd functions: f(-x) = -f(x) and these functions show rotational symmetry about the origin, order 2
-Even functions: f(x) = f(-x) and these functions show symmetry across the y-axis
-Reflecting f(x) across y=x gives f^-1(x) (the inverse function)
-The domain of f(x) is the range of f^-1(x), and vice versa
-If the gradient of f(x) at (x,y) is a, then the gradient of f^-1(x) at (y,x) is 1/a
-Differentiating: sin(x) --> cos(x) --> -sin(x) --> -cos(x) --> sin(x)...
-Differentiating sin(ax) gives acos(ax)
-Integrating e^x gives e^x
-Integrating f'(x)/f(x) gives ln(f(x))
-integrating e^ax gives (1/a)e^ax
-Integrating sin(ax) gives -(1/a)cos(ax)
-Integration by parts formula: uv - (Integral of)vdu
-Indefinite integrations introduce +c as an unknown value