((x^2)+1)^2 using substitution

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Homework Help Overview

The problem involves integrating the expression ((x^2)+1)^2 using substitution. The subject area pertains to calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial substitution of u = x^2 + 1 and the resulting differential. There is uncertainty about the next steps following this substitution. Some participants question whether substitution is the best approach for this integral, suggesting alternative methods such as expansion. Others propose considering trigonometric substitutions based on the form of the expression.

Discussion Status

The discussion is ongoing, with participants exploring different perspectives on the use of substitution versus expansion. Some guidance has been offered regarding the potential use of trigonometric functions, but no consensus has been reached on the best approach.

Contextual Notes

There is mention of imposed homework rules that specify using substitution, which may be influencing the discussion on the appropriateness of different methods.

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Homework Statement


((x^2)+1)^2 integrate using substitution


Homework Equations





3. The attempt at solution
ok so i let u= x^2 + 1
du/dx = 2x
du= 2xdx
where do i go from there
 
Last edited:
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Sidthewall said:

Homework Statement


((x^2)+1)^2 using substitution
Do what with ((x^2)+1)^2 using substitution?
Sidthewall said:

Homework Equations





3. The attempt at solution
ok so i let u= x^2 + 1
du/dx = 2x
du= 2xdx
where do i go from there
 
integrate using substitution, my bad forgot to put that down
 
That's the reason for this:

Homework Statement



So is this it?
[tex]\int (x^2 + 1)^2 dx[/tex]

I wouldn't use substitution for this one.
 
I wouldn't either. I would expand and then solve but the question said to use substitution
 
The substitution u=x2+1 won't help. What substitution does the form x2+1 suggest? Think trig functions.
 

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