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

In summary, the conversation discusses the integration of ((x^2)+1)^2 using substitution. It is suggested to use a trigonometric substitution instead of u=x^2+1.
  • #1
Sidthewall
33
0

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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  • #2
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
 
  • #3
integrate using substitution, my bad forgot to put that down
 
  • #4
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.
 
  • #5
I wouldn't either. I would expand and then solve but the question said to use substitution
 
  • #6
The substitution u=x2+1 won't help. What substitution does the form x2+1 suggest? Think trig functions.
 

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

What is substitution in terms of ((x^2)+1)^2?

Substitution is a method used to simplify or evaluate algebraic expressions by replacing variables with known values or expressions.

How do I use substitution to simplify ((x^2)+1)^2?

To use substitution, you need to choose a value or expression to substitute in for the variable. In this case, you can choose any value for x, such as 2. Then, you would replace x with 2 in the expression to get ((2^2)+1)^2. This can be simplified to (4+1)^2, which equals 25.

3. Can substitution be used to solve equations involving ((x^2)+1)^2?

Yes, substitution can be used to solve equations involving ((x^2)+1)^2. After choosing a value to substitute in for the variable, you can solve the resulting equation to find the solution for x.

4. Are there any restrictions when using substitution for ((x^2)+1)^2?

No, there are no restrictions when using substitution for ((x^2)+1)^2. You can choose any value or expression to substitute in for x, as long as it is consistent throughout the entire expression.

5. What are the benefits of using substitution for ((x^2)+1)^2?

Using substitution can make it easier to simplify or evaluate complex algebraic expressions. It can also be used to solve equations and find the solutions for variables. Additionally, substitution can help to identify patterns and relationships within an expression.

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