Find the area of the region bounded by the parabola x² = 4y, y = 2, y = 4 and the y-axis.

Find the area under the curve y = 4x² - 8x + 6 bounded by the Y-axis, X-axis and the ordinate at x = 2.

Find the area under the curve y = 4x - x² included between x = 0, x = 3 and the X-axis.

The marginal cost function of manufacturing x units of a commodity is 3x² - 2x + 8. If there is no fixed cost, find the total cost function?

If the marginal revenue for a commodity is MR = 9 - 6x² + 2x, find the total revenue function.