For each of the following integrals, explain why they are improper integrals. Then, evaluate them. If...

  

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For each of the following integrals, explain why they are improper integrals. Then, evaluate them. If they are divergent, then write 'DIVERGENT'. (a) (b) (c) 1 dx. x 2x dx. x-9 (1-x)e- dx Hint: Proceed with integration by parts, and make use of the limit lim te = 0. (d) 817 ," /2 tan 0 do. Hint: Write tan 0 as a fraction involving sin and cos 0, and use a substitution. For each of the following integrals, explain why they are improper integrals. Then, evaluate them. If they are divergent, then write 'DIVERGENT'. (a) (b) (c) 1 dx. x 2x dx. x-9 (1-x)e- dx Hint: Proceed with integration by parts, and make use of the limit lim te = 0. (d) 817 ," /2 tan 0 do. Hint: Write tan 0 as a fraction involving sin and cos 0, and use a substitution.

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a The integral 1x dx from 0 to 1 is an improper integral because the lower limit of 0 causes divisio... View the full answer