I'm struggling with all of these please I need help

Previous Problem Problem List Next Problem (1 point) Use the table of in Integrals in the back of your textbook to evaluate the integral: 9 - 4x - 4x- dx 9/2(10arcsin((2x+1)/3)+3(2x+1)(sqrt(1-((2x+1)^2/10)). Note: Use an upper-case "C" for the constant of integration.(1 point) Use the Table of Integrals in the back of your textbook to evaluate the integral: sec2 (6t) tan2(6t) 16 - tan2(6t) dtSection 6.4: Problem 5 Previous Problem Problem List Next Problem (1 point) Use the Table of Integrals to evaluate the integral. ex - 1 dx = 0Section 8.1: Problem 9 Previous Problem Problem List Next Problem (1 point) Determine whether the sequence an = arctan(18n* ) converges or diverges. If it converges, find the limit. Converges (y): converges Limit (if it exists, blank otherwise):Section 8.1: Problem 2 Previous Problem Problem List Next Problem (1 point) Determine whether the sequence an = 14n + 18 2n + 9 converges or diverges. If it converges, find the limit. Converges (y): Converges Limit (if it exists, blank otherwise): 7Section 8.1: Problem 4 Previous Problem Problem List Next Problem (1 point) Determine whether the sequence an 58 + 3 8 8 + 20 converges or diverges. If it converges, find the limit. Converges (y): diverges Limit (if it exists, blank otherwise): 0Section 8.2: Problem 1 Previous Problem Problem List Next Problem (1 point) Consider the series -5/8 + 25/64 - 125/512 + 625/4096 + ... Determine whether the series converges, and if it converges, determine its value.\fSection 8.2: Problem 4 (1 point) Given: 3n A" = 8n + 5 For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, |NF if it diverges to minus infinity, or DIV otherwise. 00 (a) The series 204"). convergent n=1 (b) The sequence {An}. 3/8 55! Section 8.2: Problem 8 (1 point) Consider the series 00 2(008 1.1)k k=1 Determine whether the series converges, and if it converges, determine its value