4. (10%) Evaluate the integrals: (a) $\int0^1 \frac{\sqrt{x}}{x+1} \, dx$. (b) $\int0^\infty \frac{\ln x}{x^2} \, dx$.
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4. (10%) Evaluate the integrals: (a) $\int0^1 \frac{\sqrt{x}}{x+1} \, dx$. (b) $\int0^\infty \frac{\ln x}{x^2} \, dx$.