Apr 19, 2010 · Integrate by parts . . .. . \begin{array}{ccccc}u &=& \arctan\left(x^{-1}\right) \\ \\[-3mm] du &=& \dfrac{\text{-}x^{-2}}{1 + (x^{-1})^2} &=& \dfrac{- dx}{1+x^2 ...

Oct 20, 2010 · [Solved] integral of arctan(x^2) as a power series We're asked to show the improper integral \int \tan^{-1}(x^2)\,dx as a power series.

Apr 12, 2009 · I know that the derivative of arctan(x) = 1/(1+x^2), so if I think I can find the power series for arctan(x), which would just be integrating each term of the power series for …

Nov 5, 2024 · Here is an integral: Integrate[ArcTan[a/(z+r * Cos[x])],{x,0,2 pi}] Any idea how to compute this integral

Nov 21, 2008 · integrate(arctan(x^2)) from 0--->1 with finding a numerical serie,what is the value which makes the error smaller than 0,0001?? thanks for,ı need this as soon as ...

Mar 11, 2009 · I was trying to do this problem in my book find the Maclaurin Series for atan(x^2) using the table found on the previous page The table listed the series for atan(x) and they …

Feb 26, 2011 · That tells us that \int \frac{dx}{1+ x^2}= arctan(x)+ C and the general formula can be derived by substitution as others have shown. Login or Register / Reply

May 16, 2010 · Ok I see how to get the summation of arctan(x^3 /4) but then I don't know what to do. Do I just write down the polynomials up to the x^9 power and do something there? What …

Jan 2, 2009 · Hi everyone, This may be a very simple 'No', but it's been going on 15 years since I've had any regular calculus quality time, so I can't remember. if I have the integral of A(x) * …

Sep 3, 2008 · Is \int arctan{5y} equal to \frac{1}{1+5y^2}\times10y? I am working on this problem, \int x^2arctan{2x}dx ...