Dear Anand

If both the functions are algebric then you can take any function as first or second. but you should choose complicated one as first as differentiation is easy. if you have difficulty in some specific example then post it.

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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Integration by substitution can be done in this case

eg .  f (g(x)) . g'(x) dx

==>    f(t) . d(t)                      [ we substitute g(x) as t and (g'(x).dx) as dt ]

solve the integral equations and finally put the value of t.

Please approve if the answer is satisfactory