# Search Results

Results tagged with Search options user 2241
4 results

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

I want to find min of the function $$\frac{1}{\sqrt{2 x^2+\left(3+\sqrt{3}\right) x+3}}+\frac{1}{\sqrt{2 x^2+\left(3-\sqrt{3}\right) x+3}}+\sqrt{\frac{1}{3} \left(2 x^2+2 x+1\right)}. … asked Apr 3 '15 by minthao_2011 2answers When I input \[Integral]1/x \[DifferentialD]x in Mathematica, I get Log[x]. How can I make the result of the integral \displaystyle \int\dfrac{1}{x}dx to be \ln|x|? asked Oct 19 '12 by minthao_2011 3answers I want to find the sum$$S=f\left(\dfrac{1}{2012} \right) +f\left(\dfrac{2}{2012} \right) +\cdots + f\left(\dfrac{2011}{2012} \right), $$where$$f(x) = \dfrac{4^x}{4^x + 2}.$$I tried f[x_] := 4^x/ … asked Dec 20 '12 by minthao_2011 4answers I have a sequence (u_{n})$$u_1= 1, \quad u_2 = 2, \quad u_3 = 3, \quad u_{n}= -u_{n-3} + 3u _{n-2} +2 u_{n-1}, \quad \forall n \geqslant 4. I want to list the first $20$ terms of this sequence a …