Compute the area of the region in the first quadrant bounded by the curves `y^2=4x` and ` (x-4)^2+y^2=16`

Compute the area of the figure lying in the first quadrant and bounded by the curves y^(2)= 4x, x^(2) = 4y and x^(2) + y^(2) = 5

Find the area lying in the first quadrant, bounded by the curves y^2-x+2 = 0 and y=|x-2| .

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

The area of the region in first quadrant bounded by the curves y = x^(3) and y = sqrtx is equal to

The area of the region lying in the first quadrant and bounded by the curve y = 4x ^(2), and the lines y =2 and y =4 is "___________"

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

Find the area lying in the first quadrant and bounded by the curve y=x^(3) and the line y=4x.

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 lying in the first quadrant and bounded by y=4x^(2)x=0,y=1 and y=4

Find the area bounded by the curve 4y^(2)=9x and 3x^(2)=16y