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Consider the integral ∫ 0 ∞  4/x^2 - 16 dx a) Rewrite this integral as the combination of improper integrals of Type 1 and Type 2 necessary to evaluate the convergence of the integral. But do not evaluate them. b) Evaluate the indefinite integral ∫ 0 ∞  4/x^2 - 16 dx c) Determine whether the integral ∫ 0 ∞  4/x^2 - 16 dx converges or diverges. d) It is only necessary to evaluate one of the Type 1 or Type 2 indefinite integrals from part (a) to determine the result in part (c). Indicate which one and explain why.

Consider the integral ∫ 0 ∞  4/x^2 - 16 dx a) Rewrite this integral as the combination of improper integrals of Type 1 and Type 2 necessary to evaluate the convergence of the integral. But do not evaluate them. b) Evaluate the indefinite integral ∫ 0 ∞  4/x^2 - 16 dx c) Determine whether the integral ∫ 0 ∞  4/x^2 - 16 dx converges or diverges. d) It is only necessary to evaluate one of the Type 1 or Type 2 indefinite integrals from part (a) to determine the result in part (c). Indicate which one and explain why.

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Consider the integral ∫ 0 ∞  4/x^2 - 16 dx a) Rewrite this integral as the combination of improper integrals of Type 1 and Type 2 necessary to evaluate the convergence of the integral. But do not evaluate them. b) Evaluate the indefinite integral ∫ 0 ∞  4/x^2 - 16 dx c) Determine whether the integral ∫ 0 ∞  4/x^2 - 16 dx converges or diverges. d) It is only necessary to evaluate one of the Type 1 or Type 2 indefinite integrals from part (a) to determine the result in part (c). Indicate which one and explain why.

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