What is the area of the region (in the first quadrant) bounded by y= 1-x^2 , y=x and y=0 ?

Step-by-step solution

x^2+y^2=1 Required area aligned & ₀^ 1 / 2 x d x+ _ 1 / 2 ^1 1-x^2 d x & = [ x^2 2 ]₀^ 1 / 2 + [ x 2 1-x^2 + 1 2 ⁻¹ x ]_ 1 / 2 ^1= 8 aligned