an converges. 6. We want to use the Integral Test to show that the positive series All of the following need to be done except one. Which is the one we don't need to n=1 do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = an for all n. (b) Show that ſi f(x) de converges. (C) Show that lim f(x) dx exists. t-00 (d) Show that lim sn exists....
show works please
Q3 10 Points Determine whether the following integral converges. If it converges, find an upper bound for the value of the integral, that is the maximum value that the integral can have. 4 – 3 cos(2) dx. Show all your work. e2x ی
5. The following integral converges. Evaluate the integral without using a table. Jato 6. Perform a test to determine if Converges or Diverges
State if the integral converges or diverges. If it converges, give the value it converges to. Somme-1.5x dx State if the integral converges or diverges. If it converges, give the value it converges to. SO4, da (2+5) 2
Determine whether the following integral converges. If it converges, find an upper bound for the value of the integral, that is the maximum value that the integral can have. poo 4 - 3 cos(x) dx. Show all your work. e2x
2. a) Determine whether the integral converges or diverges. If it converges, evaluate the integral. e'dx 20 como ma come more
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
Determine if the improper integral converges or
diverges?
Determine if improper integral converges or divergess 2+ cosa ) da 2 + cost da x²
Use the integral test to determine whether the series converges. Show all work to justify your answer. vands n=1 Select one: O A. diverges O B. converges
Determine whether the improper integral diverges or converges x?In(x) dx converges diverges Evaluate the integral if it converges, and check your results with the results obtained by using the integration capabilities of a graphing it the quantity divergesenter DIVERGES)