If a curve y = a√x + bx passes through the point (1, 2) and the area bounded by the curve, the line x = 4, and the X-axis is 8 sq units, then:

Area of the region bounded by the curve y = sin(x2) between -4π and 0 is:

Let f(α) denote the area of the region in the first quadrant bounded by x = 0, x = 1, y2 = x and y = |αx - 5| - |1 - αx| + αx2. Then the value of f(0) + f(1) is equal to:

What is the area of the region in the first quadrant bounded by y = √1 − x2, y = x, and y = 0?