The integral is improper for two reasons: The interval [0, ] is infinite and the integrand has
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![dx Vx (1 + x)](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images10/786-C-I(755).png)
is improper for two reasons: The interval [0, ] is infinite and the integrand has an infinite discontinuity at 0. Evaluate it by expressing it as a sum of improper integrals of Type 2 and Type 1 as follows:
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