I= ∫∫R(x+y)dAwhereRis the region bounded by the curvey=x² and the liney= 1.

(a) CalculateIby integrating first inyand then inx.

(b) CalculateIby integrating first inxand then iny.

This is what I got for (a): Limits for y arex² =< y =< 1, making this a parabola from origin to y=1. solvingx²=1 (upper limit of y) gives the limits for x -1=<x=<1.

which I hope is correct!

I'm stuck on (b)

What should I make the limits of x & y to?

are the limits for x: ? This is from solvingx² = y, making

But what do I make the limits for y? If I use I get a different answer from (a). I get 13/20.

where am I going wrong?