Which integral gives the area of the region in the first quadrant bounded by the x-axis, y = x2, and x + y = 2?

Question

Which integral gives the area of the region in the first quadrant bounded by the x-axis, y = x², and x + y = 2?

  

 

 

Answer 1

The 2nd answer is correct.

However, the area to the right of x=1 is simply a triangle and usually no integral would be needed.