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(a) / (4) Evaluate improper integrals: 1 dx (b) ye -3y dy. 3x - 1 (5) Determine if the integral is convergent/divergent using comparison

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(a) / (4) Evaluate improper integrals: 1 dx (b) ye -3y dy. 3x - 1 (5) Determine if the integral is convergent/divergent using comparison test: (a) 1 dx x - ln x (b) | x+1 x5 - x dx. Notice that (b) is both type I and II (infinite bounds and infinite function). You will need to split it at some value a: + Hint on the next page. a

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