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If any of these questions could be solved, thank you! (a) dx (c) cos(x) - sin(r) dx (d) 3y2 - 243 dy (0 ) /

If any of these questions could be solved, thank you!

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(a) dx (c) cos(x) - sin(r) dx (d) 3y2 - 243 dy (0 ) / ( *+ ! ) as () / (2 + ;) do 2 (10 points) (a) Let n be a constant other than -1. For what value of b is [2" do = 1? ( Your answer will be a formula involving n.) (b) Same question for n = 1. (Here, your answer will be a constant.) 3. (10 points) (a) Show that - 2" = In(2)2". (Hint: 2 = elm(2).) (b) Find / 2. 4. (15 points) Use integration by parts to find the following: (a) a' sin(r )da (b) / sin(x) cos(x) da (c) - In(r)dx

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