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 Calculus Calculus Math Forum

September 9th, 2019, 01:41 PM   #1
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Joined: Sep 2019
From: india

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Idea to solve this integration

I was trying to solve a differential equation that I defined to study the dynamics of a system. Meanwhile, I encounter integration. The integration is shown in the image below. I tried some solutions but I am failed to get a solution. In one solution, I took "x" common from the denominator terms and then apply a partial method to solve the equation. But that does not work. I request the members of this forum to give me at least an intuition to how can I solve this integration. Thanks a lot.
Attached Images IMG_20190909_183344.jpg (92.8 KB, 5 views) September 9th, 2019, 03:47 PM #2 Senior Member   Joined: Sep 2016 From: USA Posts: 645 Thanks: 408 Math Focus: Dynamical systems, analytic function theory, numerics Its hard to tell some of your $u$'s from $x$'s. Is this the integral? $\int \frac{dx}{\sum\limits_{i = 0}^u \binom{u}{i} x^i (1-x)^{u-i} - ux}$ Assuming this is the case and that $u$ is an integer, then the denominator of your integral is actually just $1-ux$ which makes the integral $\int \frac{dx}{1 - ux}$ and I presume you can solve this easily. Thanks from topsquark Tags idea, integration, solve Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post genjimain123 Elementary Math 5 November 22nd, 2018 05:19 AM Tesla 987 Calculus 1 June 13th, 2018 02:52 AM IamRetarded Calculus 8 February 9th, 2017 10:24 AM CyberRocket Algebra 3 July 13th, 2016 02:10 PM ThatDude55 Math 4 June 23rd, 2015 11:36 AM

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