Find the area of region in the first quadrant, bounded by line `2y = x,` ellipse `x^2/4+ y^2 = 1`

Find the area of the region lying in the first quadrant and bounded by y = 4x^2, x = 0, y = 1, y = 4

Find the area of the region lying in the first quadrant and bounded by y = 4x^(2), x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by y = 4x^(2) , x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by y = 4x^(2) , x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by y = 4x^(2), x = 0, y = 1 and y = 4.

Find the area of the region in the first quadrant bounded by x - axis, the line y = x and the circle x^2 + y^2 = 18 .

Let A be the area of the region in the first quadrant bounded by the x-axis the line 2y = x and the ellipse (x^(2))/(9) + (y^(2))/(1) = 1 . Let A' be the area of the region in the first quadrant bounded by the y-axis the line y = kx and the ellipse . The value of 9k such that A and A' are equal is _____

Find the area of the region if the first quadrant bounded by the parabola y^(2)=4x , the line x+y=3 and y-axis.