please help me solve all of these questions

(36) Evaluate the improper integral or state that it diverges. A) L300 1 d3: 113225 B) fox 15631530311: C) foo 13m do: 00 (m21)2 (42) Determine if the series converges 0r diverges. Indicate the convergence test used. A)?\" 1 _ 3 "1 (51141)? B) 220:1\"!e8n _ C) EngW151i (35) Preform the integration. A) J 1 (In x)6 dx B) J 1 x2+4x+8 dx C) fecotv . ..esca v du D) SXVx+7dx(1) Evaluate or determine the definite integral: a) ,sint dt, b) S; dt, c) fre tat.\f(15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent. a) 2 (0.It) 2 dt be at c) JA cos BdB d) So (7 - 23) dz e) S2 22 5 dz [caution] (16) Let f (x) = e-tif t > 0 and f (t) = 0 if t