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2. Explain why the integral xe 2x dx is an improper integral. Hence, determine whether the integral converges or diverges. 3. Explain why the

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2. Explain why the integral xe 2x dx is an improper integral. Hence, determine whether the integral converges or diverges. 3. Explain why the integral dx is an improper integral. Hence, -8 determine whether the integral converges or diverges. 4. Given the improper integral x+1 x2+2x. dx, determine whether the improper integral converges or diverges.

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