Question 6

Use Simpson's rule with n = 2 (so there are 2n = 4 subintervals) to approximate (3x2 + 5x + 3) dx and use the fundamental theorem of calculus to find the exact value of the definite integral. The approximate value of the integral from Simpson's rule is (Simplify your answer.) The exact value of the definite integral is (Simplify your answer.)Use a graphing calculator to find where the curves intersect and to find the area between the curves y = ex, y= - x- - 4x a. The left point of intersection is (Type integers or decimals rounded to the nearest thousandth as needed. Type an ordered pair.) b. The right point of intersection is (Type integers or decimals rounded to the nearest thousandth as needed. Type an ordered pair.) c. The area between the curves is approximately square units (Type an integer or decimal rounded to the nearest thousandth as needed. Use the answers from parts a and b to find this answer.)