Find the area between the curve with equation y = f(x), the x-axis and the lines x = a and x = b in each of the following cases:

a. f(x) = −3x² + 17x − 10; a = 1, b = 3

b. f(x) = 2x³ + 7x² − 4x; a = −3, b = −1

c. f(x) = −x⁴ + 7x³ − 11x² + 5x; a = 0, b = 4

d. f(x) = 8/x²; a = −4, b = −1