Finding the Indefinite Integral: A Calculus Homework Question

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Hi everyone. I have this problem for my calculas class. So far i can only get a word which adds up to 94. any help is greatly appreciated.

For the alphabet, let a=1, b=2, ... z=26 then, you can start adding up letters of a word. For example, "love" = l+o+v+e = 12+15+22+5 = 54. So, love is 54% important. If you get a word that adds up to more than 100, subtract 100 from it until you get a number equal to or less than 100. The question is: can you find a word that adds up to 100 exactly?
 
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hi
can anyone help me with this exercise
Inte[(-(x)/((x + 1) - (x + 1)^(1/2))) dx]
and the question is: find the indefinite integral

thanks
 
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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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