95. The following “post-Newtonian" approximation of t uses the "Gregory Series": Here is an informal derivation of the series: tan -1 X = X -- + 3 5 +... 7 (a) Use the substitution t = tan a to show J. 2 1 dt = tan-x. (b) Now expand 1 (1+t)* by the binomial series and integrate the series term-wise 1+t? from 0 to x, and thereby derive the Gregory series.

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