An oddity

Look at a few graphs of odd functions e.g.

y=t, y=sin(t), y=t^3, y=t^5, y=sinh(t) (use sinh(t)=0.5*(e^t-e^(-1*t))

and analyse the symmetry of the integral found using t=0 as the initial value.

Write down the Maclaurin series for a general, odd, 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?

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#symmetry #integration #oddfunctions

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