C Determine the convergence of the improper integral Diverges as fo -S²- Diverges as Diverges as 1 ✓t + sint S di √t+sint Diverges by Direct Comparison of - 1

√t + sint 1 √t + sint Converges by Direct Comparison of o √t+sint with 1 vt + sint 1 √t 1 vi with- Evaluate the improper integral 0.5 0-00 O None of these 0⁰ 0-1 1.5 0-0.5 (1 1.31² tan ő dö. 8 In this question, we check the convergence of the improper integral 1 T de by doing the following steps: 0² +50 +6 1. Re-write the given improper integral as a limit. 1 2. Compute the indefinite integral 0 0² +58 +6 DO 1 3. Compute the value of the integral T Solec 4 come answers 82 +50+6 4. Conclude the convergence of the given improper integral. Note: You need to select three correct answers, one for each of the above. lim lim 19−1+ lim lim In S 8+2 8+3 8+3 8 +2 [Ⓡ 8 2 0+3 In(2) Jos 0+2 8 3 1 0² +50+6 2452 Oln(3) 1 8² +50 +6 1 0² +50 +6 1 82 +58 +6 +0 +C B +0 M Improper integral diverges Improper integral converges 1 do. de In this question, we check the convergence of the improper integral doing the following steps: 1. Re-write the given improper integral as a limit. dr 2. Compute LISTE S 3. Conclude the convergence of the given integral Select 3 correct answers 476-4700 4750 |T| Note: You need to select three correct answers, one for each of the above. lim L lim b_4−1+ dz + lim -1 √|z| + lim V|I| Lo VTE Improper integral converges Improper integral diverges S dr I 14 -1 dr STAM by In this question, we check the convergence of the improper integral dz 1° (1+z) √z by doing the following steps: 1. Compute the indefinite integral (1+z)√I WAM 2. Conclude the convergence of the given integral 1. Select 2 correct answers (1+z)√Z Note: You need to select two wo correct answers, one for each of the above. ENER Pop 2tan ¹(√) +C tan ¹(2√7) + C tan ¹(√) + C / tan ¹(√22) + C 3tan ¹(√z) + C The improper integral diverges The improper integral converges