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Homework+16+-+Improper+Integrals

Homework+16+-+Improper+Integrals - 1 ?Whyorwhynot dx 0 x1 3...

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Homework 16 – Improper Integrals 1) Which of the following integrals is improper? Why or why not? Do not evaluate the integrals. a) 2 13 0 dx x b) 0.2 1 dx x c) 1 x ed x d) 1 0 x x e) 2 0 sec xdx f) 0 sin xdx g) 1 0 sin xdx h) 1 02 3 dx x i) 1 ln xdx j) 3 0 ln xdx 2) Determine whether each of the following improper integrals converges and, if so, evaluate it. a) 19 20 1 dx x b) 4 0.0001 t t  c) 5 20 19 0 dx x d) 4 0 4 dx x e) 0 sin xdx f) 1 0 ln xdx g) 1 2 0 ln x dx x h) 2 x x x  3) Use the comparison Test to determine whether or not each of the following integrals converges. a) 15 1 2 dx x b) 1 2 0 x e dx x c) 4 1 1 dx xx 4) The solid region G obtained by rotating the region below the graph of

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Homework+16+-+Improper+Integrals - 1 ?Whyorwhynot dx 0 x1 3...

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