Find the area of the unbounded shaded region.

Y= 7/ SQRT (7-X)

1 answer

it's unbounded. If I assume you mean the area between the x-axis and the curve, to the left of x=7, then we have

∫[-∞,7] 7/√(7-x) dx

which is unbounded.

If you mean the piece to the right of the y-axis, then

∫[0,7] 7/√(7-x) dx = 14√7

try to be complete in your description, especially when it involves a diagram which is not shown here.