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) In²]nrdrof-0Hint: Set u = ln² 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) [2²³ cos (1²)daHint: Rewrite the integrand as 1². r cos(2²). Now experiment as to what to set u and duequal to. Do not use online resources!r sin ædrIn z 1dx.