Problem Set 2 Answer all assigned exercises, and show all work. Each exercise is worth 10 points. Section 3.1 26. Find the integral by using the simplest method. f In(x )dx 40. Compute the definite integral. Use a graphing utility to confirm your answers. leviax (let u = (x) 64. Find the area between y = (x - 2)e" and the x-axis from x = 2 to x = 5. (Express the answer in exact form.) Section 3.2 86. Compute the following integral using the guidelines for integrating powers of trigonometric functions. Use a CAS to check the solutions. S vein(x)cos (x)dx 100. Use the double-angle formulas to evaluate the following integral: I sin (x)cos (x)dx 112. Find the area of the region bounded by the graphs of the equations y = sin(x), y = sin (x), x = 0, and x =Section 3.3 134. Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable. dx 142. Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable. Vx -25 dx 166. Find the area enclosed by the ellipse 1 180. During each cycle, the velocity v (in feet per second) of a robotic welding device is given by v = 2t - - 4+t where t is time in seconds. Find the expression for the displacement s (in feet) as a function of tis s = 0 when t = 0