Question

f(x) = summation from n equals 0 to infinity of (n+1)/(4^(n+1)) and x^n with an interval of convergence, –4 < x < 4. Find exactly the value of the integral from 0 to 2 of f(x)dx. Your answer will be a positive integer. Type your answer in the space below (ex. 4)

Note: Please, show me your work and answer. Thanks as always

Answer 1

the summation of 2 n plus 5, from n equals 1 to 12..