Step 1 1 The given improper integral is Therefore If f is

Last updated: 6/7/2023

Step 1 1 The given improper integral is Therefore If f is continuous on the interval 0 0 dx So e x e 7x lim B18 Jo e7x 1 e x e 7x dx The given improper integral converges if the limit exists otherwise it diver 1 Step 2 Simplify the right side of the expression dx lim b18 dx lim b 0 b 1 e7x e 7x 7 x INFINITY 7x 2 dx 71 e e14x 7 then 1 Step 3 Apply the Arctangent Rule for Integration on the right side of the expression rb 7x dx 16 lim f x dx lim f x dx