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Rutgers University-Camden 640:121 Calculus I Assignment 4.5 Use substitution to evaluate each of the following integrals. For definite integrals, remember to modify the bounds at some point in the process. 1. (sint ) VI + cost dt 2 . sin Vi - d.x VI 3. x Vr+I dx (Let u = x + 1, then write x2 in terms of u in order for the substitution to work.) 4. dt (cost)? v1 + tant 24x5 - 4x + 1 5. 4x6 - 2x2 + x - 35 dx 6. x . cos(x?) dx 7. re- dx 8 . sin(In 1) ar (The top bound is ex.) 9. (a) Let M > 0 be a constant. Evaluate (1 + 72)2 dr. (Your answer will be in terms of M.) (b) Using (a), find the value of A = (1 + 72)2 du. (Use the technique from Question 10 of Assignment 4.3.)