Answer please

For the function f(x) = 5e-*/4 , determine the convergence of the following improper integrals: (a) f(x).dx (b) [ f ( x) dx (A) diverges to o (B) diverges to -o (C) converges to - (D) converges to 0 (E) converges to 20 (F) converges to 5 a) : Select 1 Part ( a ) choices . (A) converges to 4 (B) converges to 0 (C) diverges to . (D) converges to 20 (E) converges to 5 (F) diverges to -co (b) : Select T Part (b) choices.To find an antiderivative of f(x) = arctan(6x), you've used integration by parts (successfully) and obtained an equation of the form [arctan(6x) dx = g(x) - [h(x) dx (a) What is g(x) in this equation? (b) What is h(x) in this equation? (A) x (B) x arctan(6x) (C) arctan(6x) (D) 6 6 6x (E) 6x 1 + 36x2 (F) 1 + 6x2 1 + 6x2 (G) 1 + 36x2 [a): Select T Part (a) choices. (A) x arctan(6x) (B) - 6 (C) x (D) arctan(6x) (E) 6 6x 6x 1 + 6x2 (F) 1 + 36x- 1 + 36x2 (G 1 + 6x2 (b ) : Select 1 Part (b) choices