Prove that if /r(,\') is a polynomial. then the

Chapter 7, Problem 120

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Prove that if /r(,\') is a polynomial. then the substitution " : (a.\ + b)/(ct + /) transforms rhe integral I r nt - " " t pt,t I ---4\ ,r, J \cr + ('// into the integral of a rational function of a. (The substitution indicated here is called a rctionoliiittg sLtbstitutiotl: its name comes from the fact that it converts the intesrand into a ,?tioral lunction of l.)

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