[1]-[3] Integrate with only one u-substitution for each problem. (Avoid changing variables multiple times.) Clearly define that u-substitution and identify the formula from the table that you are using. [1] edx V9 - 10e* - e2x [2] dx x Inx V3 In x - 7 [3] x dx x*+ 2x2 - 2 [4] Use the method of Partial Fractions. 5x* + x3 - 4 dx x'(x2 + 2) PART 2 : INTEGRATE using the method indicated. SHOW ALL WORK for method of integration to receive credit. 15] V36 -x2 dx , Use Trigonometric Substitution. X [6] x arc tan(x?) dx , Use Integration By Parts. [7] sin(2x 2) cos (2x ) dx , Trig. Integral X 1 - sine = cos2 0 Sudv = uv - Jv du 1 + tan O = sec- 0 sec' 0 - 1 = tan 0PARTS: [8] SOLVE the separable differential equation. Give simplied form for answer. 30! +2) = (X+6)y' [9] SET UP INTEGRAMS) for the volume of the solid of revolution obtained by rotating the given region about the given axis of revolution.( Do not evaluate integrals.) Show work in using the formulas var = 1:311 and vshcu = 21t(ave. radius)(height)(thickness) [a] Region bounded by y = J; , y = 2 , x= 0 (y-axis) about the line y = 2 using DISKS. [a] Region bounded by y = \\l; , y = 2 , x= O (yr-axis) about the line y = 2 using CYLINDRICAL SHELLS. [10] Test the following positive series for CONVERGENCEIDIVERGENCE. Show work. Use LIMIT COMPARISON TEST. 00 Z vet-L\" 4k +k+3 k=1 [1 1] Find the INTERVAL 0F CONVERGENCE of the following POWER SERIES. Show work. 00 E (3)\" (x+4)" k k=1