1. Evaluate the following integrals using integration by parts. Clearly denote what is playingthe role...

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1. Evaluate the following integrals using integration by parts. Clearly denote what is playingthe role of u, du, du, and v.(a) [In rd.rHint: The integral is equivalent to(b) In]nrdrof-0Hint: Set u = ln r as in the integration by parts formula. Use your answer from part (a)!(e) | arctan(r)drHint: Use the same hint from part (a).(e) |_=fimr.*(d) [2 cos (1)daHint: Rewrite the integrand as 1. r cos(2). Now experiment as to what to set u and duequal to. Do not use online resources!r sin drIn z 1dx.

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