l. Determine whether each integral is convergent or divergent. Evaluate those that are convergent. 13 14x x2 Ell: [I+2)(Iz+1)dx 2. Consider the integral film (it 1.2:9 a} Rewrite the given integral as a sum of'improper integrals of'Tvpe l and Type 2 needed to determine convergence or divergence of the given integral. Do not compute the integrals. b} Compute the antiderivalive I rm. c} It is necessary.r to compute only.r one of the integrals of'Tvpe l and Type 2 {from part a}] to determine the convergence or divergence of the given integral. Indicate which, and explain your answer. 3. Use the Comparison Test for Improper Integrals to determine whether the integral converges or m2+cosx 2_dx 1 1: +e 3' diverges. 4. Find the exact length of the curve 3: I it)? -|- 213'? on 2 i: j" i: E. 5. Find the exact length of the curve y 2 [III on 1 5 I S #5. . Consider the portion ofa hyperbola, y = 1.31:2 1 on 5 E x 5 {E , located in the first quadrant. a} Set up, but DO NOT evaluate. the integral with respect to x that represents the surface area obtained by rotating the curve about the yaxis. b) Set up, AND evaluate1 the integral with respect to j! that represents the surface area obtained by rotating the curve about the yaxis