Match each improper integral with the improper integral below to which

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Match each improper integral with the improper integral below to which you can compare using the Comparison Test, then determine whether the integrals converge or diverge. A. ∫1∞dxx B. ∫1∞dxx2 C. ∫1∞dxx3, and D. ∫1∞dxxNote: you may need to use some of the integrals A-D more than once, and you might not need to use them all. ? ∫1∞dxx3+4 Does this integral converge or diverge? ?? ∫1∞2+e−xxdx Does this integral converge or diverge? ∫1∞xx3+1dx Does this integral converge or diverge? ∫1∞2+cos⁡xxdx Does this integral converge or diverge? ?

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Match each improper integral with the improper integral below to which you can compare using the Comparison Test, then determine whether the integrals converge or diverge. A.

\int_{1}^{\infty} \frac{d x}{x}

\int_{1}^{\infty} \frac{d x}{x^{2}}

\int_{1}^{\infty} \frac{d x}{x^{3}}

, and D.

\int_{1}^{\infty} \frac{d x}{\sqrt{x}}

Note: you may need to use some of the integrals A-D more than once, and you might not need to use them all.

? $\int_{1}^{\infty} \frac{d x}{x^{3} + 4}$ Does this integral converge or diverge? ?
? $\int_{1}^{\infty} \frac{2 + e^{- x}}{\sqrt{x}} d x$ Does this integral converge or diverge? $◻$
? $\int_{1}^{\infty} \frac{x}{x^{3} + 1} d x$ Does this integral converge or diverge? ? $◻$
? $\int_{1}^{\infty} \frac{2 + \cos x}{\sqrt{x}} d x$ Does this integral converge or diverge? ?