b) By using direct comparison test (DCT) determine convergence or divergence of the following improper integral S = 1 x¹/3. In(x¹/5) dx
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- Show the requirements for the Integral Test (by graphing). Use the Integral Test to categorize as Divergent or Convergent.please show all work and use proper notation thank youInvestigate the convergence of the integralIf the Midpoint Rule is used on the interval [-1, 11] with n = 3 subintervals, at what x-coordinates is the integrand evaluated?
- Explain the convergence of the integral by specifying the type of the integral.is Convergent divergenta Evahate or Determine whether each integral Converyent. thuse that are 1 dx 14-XUse the definition of the convergence of an improper integral to determine whether the followingintegral converges or diverges:(a). ∫infinity 3 dx/(x-3)^(3/2) b)∫1 0 dx/xsqrtx