I need help formulating this problem.

4) Evaluate [;(2x* - 4x* + 1)dx by computing the limit n Jim > fax k=1 (Note: If limits are not used correctly, the maximum number of points possible for this problem will be 5 points out of 20 points.) @ _ W% Z 145 ) 5 xt 4 D) T3 +x+C (E) None of the above 5) Evaluate 441 [ 1 @-3 1 ) 3 -2 D)2 (E) None of the above B) 1) Evaluate (1) 3) Given f(x) = x2 + 3, find the exact area A of the region under y = f(x) on the interval [1, 3] by first computing the sum J COS () ax (4) * sin () and then taking the limit as n - co. Hint: En_, k2 = "(+1)(2n+1) (3) (B) -+ sin (#) + c (Note: If limits are not used correctly, the maximum number of points possible for this problem will be 5 points out of 20 points.) (C) sin () + c (A) 14 (D) -sin () + c (B)- (E) None of the above (C) 13 56 (D) 3 (E) None of the above 2) Solve the initial value problem (2 ) dy dx Vx + 2' y(2) = -1 1 Vx+ 2 (B) 2V x +2 -1 (C) 2 V x+2 - 5 1 2Vx + 2 + 2 (E) None of the above