Hello, So I have a homework problem and I basically get it, but I\'m not sure I\

Question

Hello,

So I have a homework problem and I basically get it, but I'm not sure I'm doing a part of it correctly. Here it is: Sketch the region bounded by the parabola x=3-y^2 and the line x=y+1. Draw a typical approximating rectangle and label its height and width. Then give the integral for finding the area of the region. Do not evaluate the integral.

I have a sketch of the graph, and I have the integral, but I want to make sure I'm making a correct approximation rectangle. I've attached my work so far, but can someone help me with drawing a typical aprroximating rectangle and labeling its height and width. It's just confusing me since it's in terms of y. Also, how does my work look so far?

Explanation / Answer

Approximate rectangle can be found out by counting the approximate no. of boxes (1cm*1cm) in the graph lying between the two curves

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