3. (8 points) Determine if the integral $\int_{4}^{\infty} \frac{dx}{(x-3)^{3/2}}$ converges or diverges. For full credit, compute the integral.
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To compute the integral, we can use the power rule for integration. The power rule states that ∫x^n dx = (1/(n+1))x^(n+1) + C, where C is the constant of integration. In this case, we have the integral ∫(3/2)e^(-3x) dx. We can rewrite this as (3/2)∫e^(-3x) Show more…
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