What is the Area of the Region Bounded by y = 3x^2-3, x = 0, x = 2, and y = 0?

disk256
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The area of the region bounded by the curve y = 3x^2-3 , the y-axis, x-axis, and the line
x = 2 is equal to

so far i ve managed to draw the graph i m getting a value of 9

is that correct
 
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disk256 said:
The area of the region bounded by the curve y = 3x^2-3 , the y-axis, x-axis, and the line
x = 2 is equal to

so far i ve managed to draw the graph i m getting a value of 9

is that correct
Are you sure this is the exact wording of the problem? It's not clear to me what the region looks like.
 
Do you mean this region?
 

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There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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