Question: Compute the following indefinite integrals

1. \(\int{{{x}^{7/3}}dx}\)
2. \(\int{\left( x\ln x+{{e}^{5x}} \right)dx}\)
3. \[\int{\left( {{x}^{-2}}+\frac{1}{2}\sqrt{x}+3x-{{e}^{\frac{1}{2}x}} \right)}dx\]
4. \[\int{{{e}^{\ln x}}dx}\]

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