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x*+1 11.11. Consider the rational function (2x-3)3 (x2+4) (x2+x+1)2 Write out its partial fraction expansion but don't determine the values of the coefficients (because this would take a long time to accomplish). 12.12. Find J 1-x-x3 x (x2+9)2 dx 13.13. For each make a u substitution which will then transform the integral to look like a rational expression in u. Then state which of the 4 cases of integrating rational functions applies. Unlike the lecture, complete each problem to its end. Vx-3 a. seczx b. dx 5tan2x+tanx+1