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Proof by integrating Bionomial Theorem
1. The problem statement, Prove that for any n\inN and any real umber x, \sum\stackrel{n}{i=0}\left(\stackrel{n}{i}\right)\frac{x^{i+1}}{i+1}=\frac{1}{n+1}((1+x)^{n+1}-1) 2. I tried to integrate both sides of Bionomial Theorem However, I'm not sure what to do at the first place. :(- whitendark
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- Proof Theorem
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- Forum: Calculus and Beyond Homework Help