Taylor Series
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The `a t' (`calc-taylor') [`taylor'] command computes a power series
expansion or Taylor series of a function.  You specify the variable
and the desired number of terms.  You may give an expression of the
form `VAR = A' or `VAR - A' instead of just a variable to produce a
Taylor expansion about the point A.  You may specify the number of
terms with a numeric prefix argument; otherwise the command will
prompt you for the number of terms.  Note that many series expansions
have coefficients of zero for some terms, so you may appear to get
fewer terms than you asked for.

If the `a i' command is unable to find a symbolic integral for a
function, you can get an approximation by integrating the function's
Taylor series.