Page 2 of 2 ZOOM + VII. Partial Fractions 28. - ( x + a) (x+b) dx = x2+x+1 dx = 29. J (x2+1)2 VIII. Area Sketch the functions. Then solve for the area between the curves. 30. y = V2x, y = x 31. y = sec2 x, y = 8 cosx , x 6 - , " IX. Volume Sketch the functions and the revolution. Then solve for the volume when rotated about the given line. 32. y = 1 + secx, y = 3; about y = 1 33. x = y', x = 1 - y?; about x = 3 X. Polar Functions Find the points on the given curve(s) where the tangent line is horizontal or vertical. 34. Graph the curve and find the area it encloses. r = 1 + cos2(50) 35. Graph the curve and find the area it encloses. r = 1 + 5 sin 60 XI. Improper Integrals Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. 36. J-00 x241 37. Je x(In x)2 38. -1 ( x+1)2 Use the Comparison Theorem to determine whether the integral is convergent or divergent. 39. 1 wytrEdx=- 40. (1 sec x dx= xVX