How can completing the square help simplify the integral (1+x)/(1-x-x^2) dx?

  • Thread starter Thread starter mingzhang54
  • Start date Start date
  • Tags Tags
    Integrate
mingzhang54
Messages
1
Reaction score
0

Homework Statement


this is LFS of a question,which is
(1+x)/(1-x-x^2) dx!
i can not simplefy it at all b4 try to do d integration!

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Try completing the square for 1-x-x2. Your integral is in the form (a+b)/c which is the same as (a/c) + (b/c), so split the integrals.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
Replies
7
Views
2K
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
Replies
3
Views
1K
Integral of 1 / (x^2 + 2) dx ?
2
Replies
54
Views
13K
Prove that the integral is equal to ##\pi^2/8##
2
Replies
96
Views
4K
How To Integrate 1/[sqrt (x^2 + 3x + 2)] dx?
Replies
44
Views
5K
How to Integrate [1/(x^2 + 3)] dx?
Replies
5
Views
3K
Solving the Integral ∫dx/(1-x)
Replies
3
Views
2K
Can a human calculate this without a calculator?
Replies
11
Views
1K
Integrate (xsinx - cosx)/x^2 with Intro Calc Techniques
Replies
3
Views
2K
Integral Homework: Solving $\int_0^{\infty} \frac{\log (x+1)}{x(x+1)} dx$
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top