b a C 3. (+ e.r.) Consider the function defined as a definite integral, F(x) = "t see(!) de . (a) (2 points) Determine F(z). (b) (3 points) Simplify the function and express it in terms of r. 4. (4 points + c.r.) Let /(x) = /"100(3 + 21 -3)e-" de. Find the interval(s) on which /(x) is increasing. 5. (4 points + c.r.) Suppose that If [ f(x) de = 25 then what is the value of k? 6. (3 points + c.r.) Let /(t) be some function that satisfies / /(f)de = 5. Evaluate1. (3 points + c.r.) Suppose that f(x) is a function that is decreasing on the interval 0