Determine if this improper integral diverges or converges in

Solution

answer integral from 3 to 1 (2)/((x-2)^(8/3)) DX =integral from 3 to 1 (2)(x-2)^-(8/3)) DX =(2(x-2)^(-5/3))/(-5/3) from 3 to 1 =(2(x-2)^(-5/3))/(-5/3) from 3 to 1 =-6/5((x-2)^(-5/3)) from 3 to 1 =appling limits =-6/5((1-1)) =0 so this integral is converge because limit exists and does not infinite regards