write (tanx)^3 as the product of tanx and (tanx)^2
use trigonometric formulae to rewrite (tanx)^2 as [ (secx)^2 -1]
multiply the tanx into [ (secx)^2 -1] and split into two integrals
for the first one, use the substitution t =tanx
the second integral is a direct formula.
formulae on integration
PAGE 1 BASIC INTEGRATION
PAGE 2 INTEGRATION BY SUBSTITUTION
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES
PAGE 4 INTEGRATION BY PARTS
PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR
PAGE 6 INTEGRATION USING PARTIAL FRACTIONS
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