# Even sums can be odd!

Look at a few graphs of even functions e.g.:

y=1, y=|t| (use |t|=(t*t)^0.5), y=cos(t), y=t^2, y=t^4, y=cosh(t) (use cosh(t)=0.5*(e^t+e^(-1*t))

and analyse the symmetry of the integral using t=0 as the initial value. Write down the Maclaurin series for a general, even, function defined around t=0 and use this to justify your conclusion. Is the conclusion still true if a point other than t=0 is taken as the initial value for the integration?

#symmetry #integration #evenfunctions

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