I would like these all solved correctly.

11. Indicate a good method for evaluating each integral below. You do not need to do the integrations unless you want a bit of extra practice. Your choices are substitution (specify an and du) or integration by parts (specify u and 53) (a) f 51:26$3 d3: (c) f 1 +393? tin: (b) [5.363% (d) / 1+19$2dm 12. Consider the integral [IV]. + main: . Evaluate this integral using: (3) Evaluate this integral using a suitable substitution. (b) Evaluate this integral using integration by parts. (c) Show that your answers in (a) and (b) are equivalent. 13. (a) What equation results if integration by parts is applied to the integral 1 fxln(x)d$' $>0 1 d1) 1 d = ? 1n(:1:) an :11: a: with the choices 11 = In what sense is this equation true? In what sense is this equation false? 1 a: 111(5\") d1: . (b) Use a suitable substitution to find /