Solve Improper Integral Homework - Get Help Now!

yecko
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Homework Statement


7d4e50778928226bfdc0e51fb64facfb.jpg

https://holland.pk/uptow/i4/7d4e50778928226bfdc0e51fb64facfb.jpg

Homework Equations


improper integral

The Attempt at a Solution


(attached)
Whats wrong with my calculation?
I cannot figure it out after hours...
Thank you very much!
 
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In the substitution, it's actually ##\frac{du}{dx}=\frac{1}{2\sqrt{x}}##.
 
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oh yes. thank you
 

Thread 'Finding the nth roots of a complex number'

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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