Question: Section 7.8: 1. Determine whether each integral is convergent or divergent. Evaluate those that are convergent. a) .dx x b dx ) 3 V4x I!)

V4x I!) 82: c) I... (923' +3) dx m 1 (UL x2+3x+2dx

2. Consider the integral I: 4 dx 129 a) Rewrite the given

Section 7.8: 1. Determine whether each integral is convergent or divergent. Evaluate those that are convergent. a) .dx x b dx ) 3 V4x I!) 82: c) I... (923' +3) dx m 1 (UL x2+3x+2dx 2. Consider the integral I: 4 dx 129 a) Rewrite the given integral as a sum of improper integrals of Type 1 and Type 2 needed to determine convergence or divergence of the given integral. Do not compute the integrals. dx. b) Compute the antiderivative I 129 c) Determine whether the given integral I: dx converges or diverges. 29 d) It is necessary to compute only one of the integrals of Type 1 and Type 2 (from part a)) to determine the convergence or divergence of the given integral. Indicate which one and explain your answer. 3. Use the Comparison Test for Improper Integrals to determine whether the integral converges or m:rsinzjl: I 4 dx 1 2: +1 diverges. Dame. 1 n4 '1 Section 8.1: 1. Find the exact length of the curve x = = (y2 + 2)3/2 on 1

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