Evaluate the integrals in Exercises 97–110.
97. ∫ 3x^(√3) dx

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Identify the integral to be solved: \(\int 3x^{\sqrt{3}} \, dx\).

Recall the power rule for integration: for any real number \(n \neq -1\), \(\int x^n \, dx = \frac{x^{n+1}}{n+1} + C\).

Since the integrand is \(3x^{\sqrt{3}}\), factor out the constant 3: \(3 \int x^{\sqrt{3}} \, dx\).

Apply the power rule to \(\int x^{\sqrt{3}} \, dx\), which gives \(\frac{x^{\sqrt{3} + 1}}{\sqrt{3} + 1} + C\).

Multiply the result by 3 to get the integral: \(3 \times \frac{x^{\sqrt{3} + 1}}{\sqrt{3} + 1} + C\).

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