How to Find the Area Between Two Curves and Their Intersection Points

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1. Find the area between the curves y=4xe^-x^2, y=abs(x)


2. intersection points are 0 and sqrt(-ln(1/4))



3. help!
 
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Well what is the area under

y=4xe-x2 between x=0 and x=√(-ln(0.25)) ?

Then find the area under the graph of y=|x| from x=0 to x=√(-ln(0.25)).

No what do you think you should do?
 
I actually figured it out shortly after posting this. I was making some really dumb mistakes! But thank you for replying so quickly. I'm sure I'll be back soon needing some more help :)
 
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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