8.1 In 1-21, use the definition of an improper integral to evaluat...

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8.1 In 1-21, use the definition of an improper integral to evaluate the given integral. 80 1 8. 2 dx (x-2) 3 In problems 24-32. determine whether the improper integral is convergent or divergent. Do not evaluate the integral. 8 1 26. X 2 dx 7 8 28. S X 2 1 1 dx 3 8.2 In problems 1 42. find the indefinite integrals and evaluate the definite integrals In some of the problems a particular change of variable suggested. 1 7 16. 2 dx u 3 0 1+(x+3) 6 cos(x) 20. dx u sin(x) In problems 43 48. complete the square in the denominator, make the appropriate substitution and integrate 48. + 5 + 5 dx 8.3 In problems 1-6, function u or dv is given. Find the piece u or dv which not given calculate du and ,and apply the Integration by Parts Formula 4. dv = =secĀ²(3x) dx In problems 7-24 , evaluate the integrals. 20. Sx25xdx X

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