2D probability integral question

nhrock3
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the question and solution
after i they find the total interval of the total function
i can't understand
what they do with the graph and how they derive the integrals from it
?
2jc983a.gif

2lc1c93.gif
 
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how to we know that x1x2<t is bellow this line
how to we know that x1x2>t is above this line
 
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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