Solving the Unit Circle: Calculating Integral Area

kahlan
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hello
there
hi everybody
just i have been taken my final exam for calculus one CALCULUS I

there was one qeustion which i was confouse while i was reading it


Set up the intgeral area of unit circle?
 
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hello kahlan! :smile:

do you mean set up an integral to find the area of a unit circle?

either slice the circle into horizontal slices of height dy, or into rings of thickness dr :wink:
 

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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