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

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The integral of the function 4x^2 + 2 from x=1 to x=3 is calculated as ∫(4x^2 + 2)dx. The initial calculation yields 44/3, which is questioned by another participant who claims the correct result is 116/3. The discussion emphasizes the importance of verifying arithmetic in integral calculations. The original poster expresses satisfaction with their work despite the discrepancy. The conversation highlights the need for accuracy in mathematical computations.
winston2020
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Hi, I've got to solve for: \int\stackrel{3}{1}(4x2+2)dx

This is what I've done:

= [ (4/3)x3 + 2x ]\stackrel{3}{1}
= [ (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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looks good to me! If you have done the arithmetic correctly of course!
 
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.
 
\int_{1}^3 (4x^2+2)dx
 
Your math looks good, but you made an error in your calculation. I'm getting 116/3.
 

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