Integrate - Area Under the Curve

This is the question in my book and I can't seem to get an answer:

14 (a) For the function: http://thestudentroom.co.uk/latexren...e9f3f6cc14.png the area under the curve from x = 0 to 1 and the x axis, can be found with the equation http://thestudentroom.co.uk/latexren...b2b1b5acc4.png. What is the equation for the area under the curve from y = 0 to 1 and the y axis? I got http://thestudentroom.co.uk/latexren...2014b70b3c.png. Is this right?

It then says

(b) With the same function (http://thestudentroom.co.uk/latexren...e9f3f6cc14.png), the equation for x = 0 to 2 and the x axis can be found with: http://thestudentroom.co.uk/latexren...83d3901726.png. What is the equation for the area unde the curve from y = 0 to 2 and the y axis? I don't know what to do here

And finally.. (however, if we can get the right answer to (b) i'm sure (c) will be done too)

(c) For the same function (http://thestudentroom.co.uk/latexren...e9f3f6cc14.png) the equation for x = 2 to 3 and the x axis is http://thestudentroom.co.uk/latexren...d89489fecd.png. What would the equation be for the area under the curve for y = 2 to 3 and the y axis?