PS6: Problem 3 Previous Problem Problem List Next Problem (1 point) Use the following figure, which shows a graph of f(a) to find each of the indicated integrals. (Click on the graph for a larger version.) Note that the first area (with vertical, red shading) is 44 and the second (with oblique, black shading) is 4. A. [ f(x)dx = B. f, f(x)dx = c. ff f(x )dx = D. fa If(x) |di =PS6: Problem 4 Previous Problem Problem List Next Problem (1 point) 1.0 A graph of f(x) = -2x + 6 is shown above. Using the geometry of the graph, evaluate the definite integrals. by ( " ( - 2 2 + 6 ) da =] (-2x + 6) da = 3) / . " ( - 2 2 + 6 ) da = ] J (-82 + 24) da =[PS6: Problem 6 Previous Problem Problem List Next Problem (1 point) If f(I) = (4-+ )et dt, find the largest interval on which f is increasing Answer (in interval notation):PS6: Problem 7 Previous Problem Problem List Next Problem (1 point) Let f () = t dt. Evaluate the following 1 f' (I) = f' (5) = Note: You can earn partial credit on this problemPS6: Problem 8 Previous Problem Problem List Next Problem (1 point) . Part 1: A definite integral Evaluate the definite integral. Your answer will be a function of c. 1," (ot + 4 ) at = 0 The definite integral above (select all that apply) A. represents the set of all antiderivatives of 6t + 4. B. represents the signed area under a parabola for a > 2. ( C. represents the signed area of a triangle for > > 2. D. represents the signed area of a trapezoid for > > 2. Part 2: The derivative of a definite integral