a.)

Given y=square root of (x) and y= (x) Find the area between two curves from x=0 to x=1 by integrating with respect to x (top-bottom)

I'm more concerned about this one though:
b.) Now integrate with respect to y given between y=0 and y=1

Do I just graph it on my calculator and find which one is right and which is left? Then left - right. I take the antiderivative of both the x and square root of x and then just plug in the 0 and 1. Then minus the answers from eachother? Is that wrong?

Could someone teach me step by step how to do it? I'm in intro to calc cp. I have a TI-83 graphing calculator.