Please i need help with this.
Find the area bounded by the curves y�0…5 - 4x = 0, 2x - y - 4 = 0
not sure what y0...5-4x means
anyway, if all you have is two lines, the area is unbounded.
If the limits of integration are 0 to 5, and the lines are
y = -4x
2x-y-4 = 0
then the lines are
y1 = -4x
y2 = 2x-4
Now think of the area as a bunch of extremely thin rectangles of width dx. Their height is the distance between the two lines, so the area is
∫[0,5] (y2-y1) dx
Looking at those two lines, I suspect I have gotten the functions wrong, but you can fix that and then apply the logic.