this post was submitted on 02 Oct 2023
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Science Memes

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Are you interested? (i.imgur.com)
submitted 11 months ago by [email protected] to c/[email protected]
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[–] [email protected] 13 points 11 months ago (4 children)

Can someone explain this? Integral from 10 to 13 of 2x? It's been a long time since calculus for me, but isn't that like 2x² + c or something like that?

[–] [email protected] 37 points 11 months ago (1 children)

[–] [email protected] 4 points 11 months ago (2 children)

Is this Wolfram Alpha?

[–] [email protected] 11 points 11 months ago (1 children)

It is Photomath

[–] [email protected] 4 points 11 months ago

Never heard of this before, looks cool. Wish I had that when I was taking calculus lol

[–] [email protected] 2 points 11 months ago

Looks like

[–] [email protected] 16 points 11 months ago (1 children)

Just x²+c, but when you're integrating between limits the +c doesn't matter - so you're just left with the difference between 13² and 10²...

[–] [email protected] 4 points 11 months ago* (last edited 11 months ago) (1 children)

It isn't that it doesn't matter, constant of integration is only used for indefinite integrals.

[–] [email protected] 1 points 11 months ago* (last edited 11 months ago) (1 children)

I think it's "indefinite" not "undefined" (at least in English).

The reason it doesn't matter/is only used for indefinite integrals is just that it gets subtracted out when you evaluate at the limits of integration, so it always goes away (but it's still there in the antiderivative).

(x1+c)-(x0+c) = x1-x0

[–] [email protected] 2 points 11 months ago* (last edited 11 months ago)

I think it's "indefinite" not "undefined" (at least in English).

You are correct, it has been at least ten years since my calculus classes which I took in a language that isn't English.

[–] [email protected] 11 points 11 months ago (1 children)

The integral of 2xdx is x^2 + c, and it’s evaluated from 10 to 13. So you’d have the following:

(13^2 + c) - (10^2 + c).

The c’s cancel. I’ll leave you to do the rest…