For the straight line y = mx and the cubic function y = x³.
How do you calculate the shaded area bounded by the two curves?
You can vary the equation of the straight line with the m slider.

1. Calculate the area bounded by the straight line y = g(x), the x-axis and the ordinates x = 0 and x = b. Check your answer by clicking the 'Area under g(x) = mx' checkbox.
2. Calculate the area bounded by the cubic function y = f(x), the x-axis and the ordinates x = 0 and x = b. Check your answer by clicking the 'Area under f(x) = x³' checkbox.
3. Using your answers to questions (1) and (2), how would you calculate the area between the two curves in the first quadrant? Calculate this area then check your answer by clicking the 3rd checkbox.
4. How would you calculate the total area bounded by the two curves above