Evaluate the improper integral or determine that it diverges.

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the improper integral ∫0∞1(x+1)x dx\displaystyle \int_{0}^{\infty} \frac{1}{(x+1)\sqrt{x}}\,dx or determine that it diverges.

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