The integral is improper for two reasons: The interval [0, ] is infinite and the integrand has

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The integral
dx Vx (1 + x)

is improper for two reasons: The interval [0, ˆž] 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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