Find the area bounded by y^2=x and y=x=2

[hytuoc]

How do I do this problem below? Plz guide me step by step or a least show me the correct bounds so I can learn...thanks
***Find the area bounded by y^2=x and y=x=2
Thanks so much

 

[physmurf]

How do I do this problem below? Plz guide me step by step or a least show me the correct bounds so I can learn...thanks
***Find the area bounded by y^2=x and y=x=2
Thanks so much

You could always find the are enclosed by the second equation, then you could find the area between the first eqn and the x axis, then you could subract the second area from the first.

 

[HallsofIvy]

First rule: check the problem carefully- doubt that the question actually says "y= x= 2". It might well be y= x-2 or y-x= 2 which are very different.

Second rule: draw a picture. y²= x is a parabola (with x-axis as axis),
y= x- 2, which can be written as x= y+2, is a line which crosses the parabola when
x= y²= y+ 2: solve the equation y²- y- 2= 0.
(or, if you mean y-x= 2, x= y-2 so x= y²= y- 2.)