Recent content by sleepwalker27

I found a deduction to determinate de sum of the first n squares. However there is a part on it that i didn't understood. We use the next definition: (k+1)^3 - k^3 = 3k^2 + 3k +1, then we define k= 1, ... , n and then we sum... (n+1)^3 -1 = 3\sum_{k=0}^{n}k^{2} +3\sum_{k=0}^{n}k+ n The...

Thank you all for your responses and your time, you helped me a lot.. I understood the problem

I think i asked de wrong question, the correct is: How the autor of the book came to that equation?

Well, the problem says: From some height a object with mass m is thrown . Determinate the law that describes how the velocity of fall v changes, if on the object, besides gravity, acts the force air resistance, which is proportional to velocity v (the proportionality coefficient is k), ie must...

I tried to made the integral to the form ∫dx/x2+1 so that their solution is something like arctanx

1. http://www.imageurlhost.com/images/cnj1t05jh6e4fxqy4i5_integral.png I know that this integral is solved by the sustitution method The Attempt at a Solution I tried converting the integral to the form of Arctanx, but that x2 on the numerator ruined everything. Thanks