Consider the function f(x) = 32 – 2x2 over the interval [1, 4]. Problems 9-12, Approximate the area between the graph of f(x) and the x-axis over the given interval by summing the area of the given...

Extracted text: Consider the function f(x) = 32 – 2x2 over the interval [1, 4]. Problems 9-12, Approximate the area between the graph of f(x) and the x-axis over the given interval by summing the area of the given number of rectangles and the given condition for finding the height of each rectangle. Make sure to draw each rectangle on the graph. 9. Use n = 6 rectangles and use the LEFT endpoint of each subinterval for the height. 10. Use n = 6 rectangles and use the RIGHT endpoint of each subinterval for the height. 11. Use n = 12 rectangles and use the LEFT endpoint of each subinterval for the height. 12. Use n = 12 rectangles and use the RIGHT endpoint of each subinterval for the height. 13. Find the antiderivative F(x) of f(x) = 32 – 2x2. Compute F(4) – F(1).