Integration: What Method to Use?

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Homework Help Overview

The discussion revolves around the integration of the function x / ((x+1)^4), exploring various methods for solving the integral. Participants are considering different integration techniques within the context of calculus.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses difficulty with substitution and partial fractions, questioning which integration method to use. Some participants suggest substitution, while others mention that partial integration could be an alternative. There is also a follow-up question regarding a similar integral involving x^2.

Discussion Status

Participants are actively engaging with the problem, offering suggestions and alternative methods. Some guidance has been provided regarding the substitution method, and there is a recognition of the potential for different approaches to be effective. The discussion reflects a collaborative effort to explore the problem without reaching a definitive conclusion.

Contextual Notes

There is an indication that the original poster is constrained by time and is seeking efficient methods for integration. The discussion includes a reference to a follow-up problem involving a different function, which may introduce additional complexity.

naspek
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integration of x / ((x+1)^4)
i can't use integration by subs..
partial fraction will consume time to answer this question..
which integration method should i use?
 
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Try substitution instead, u=x+1
 
rock.freak667 said:
Try substitution instead, u=x+1

ok.. when u = x + 1 ; du = 1 dx

i should get du = x dx first..
but subs method didnt work..
 
Have faith, because it should work. If it still doesn't for you, post your work here.
 
You don't need to get du=xdx. rockfreak's suggestion works fine, just try it. Alternatively you could do a partial integration.
 
got it!
(-1/2)(x+1)^-2 + (1/3)(x+1)^-3 + C.

what if i got x^2 / ((x+1)^4)
 
The same trick works. You should try it.
 
got it! thanks guys! =)
 

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