hello

I need to find the sum:

sigma 0-->infinity (-1/3)^n * 1/(2n+1)

i looked at the power series : x^2n (1)

the sum of this series is : 1/(1-x^2) (2)

then by integration of (1) I got : x^2n+1 * 1/(2n+1) (3)

by integration of (2) i got the sum of (3)

I dont know what to do now

help would be appreciated.