Integrate 4x^2+2: Solve for x=3 to x=1 - 44/3

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In summary, the conversation was about solving an integral and the individual provided their solution. They then asked if their solution was correct and received confirmation from another person. The conversation then shifted to discussing another integral and the individual was asked to check their calculation, which was ultimately found to contain an error.
  • #1
winston2020
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Hi, I've got to solve for: [tex]\int\stackrel{3}{1}[/tex](4x2+2)dx

This is what I've done:

= [ (4/3)x3 + 2x ][tex]\stackrel{3}{1}[/tex]
= [ (4/3)(3)3 + 2(3) ] - [ (4/3)(1)3 + 2(1) ]
then I solved...

= 44/3

Is that correct at all?
 
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  • #2
looks good to me! If you have done the arithmetic correctly of course!
 
  • #3
sutupidmath said:
looks good to me! If you have done the arithmetic correctly of course!

Awesome! My morale just sky rocketed...

By the way, sorry for the bad latex graphic thing... I'm having a hard time figuring that out.
 
  • #4
[tex] \int_{1}^3 (4x^2+2)dx[/tex]
 
  • #6
Your math looks good, but you made an error in your calculation. I'm getting 116/3.
 

FAQ: Integrate 4x^2+2: Solve for x=3 to x=1 - 44/3

What is integration?

Integration is a mathematical process of finding the area under a curve by splitting it into smaller sections and summing them up.

How do you integrate 4x^2+2?

To integrate 4x^2+2, you can use the power rule of integration, which states that the integral of x^n is equal to x^(n+1)/(n+1). Therefore, the integral of 4x^2+2 is equal to (4/3)x^3+2x+C, where C is the constant of integration.

What does it mean to solve for x=3 to x=1?

Solving for x=3 to x=1 means to find the area under the curve of the function 4x^2+2 between the values of x=3 and x=1.

What is the value of the integral when x=3 to x=1?

The value of the integral when x=3 to x=1 is equal to the area under the curve of the function 4x^2+2 between the values of x=3 and x=1.

What is the final solution for the integral of 4x^2+2 when x=3 to x=1?

The final solution for the integral of 4x^2+2 when x=3 to x=1 is equal to (4/3)(1^3-3^3)+2(1-3)=-44/3.

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