Math Is Fun Forum

Harold

Guest

Line integral check

Hi, I have answered a question that I believe is correct. But I would really like it if someone could check my working, I don't have 100% confidence in my answer.

Evaluate

where C is the curve of

from (3,3) to (0,0).

So my working:

Let

,

,

So the integral becomes:

I think this is correct but can someone check this for me?

Thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Line integral check

Hi Harold;

Welcome to the forum. What range did you define t as? According to your integral you defined it like this: 0 <= t <=3.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Harold

Guest

Re: Line integral check

Hi Harold;

Welcome to the forum. What range did you define t as? According to your integral you defined it like this: 0 <= t <=3.

Hi bobbym;

Yes, I did define t like you said because x=t and that is the range of x. Is my answer correct?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Line integral check

Hi Harold;

Everything you did on everything else is correct as far as I know. The only thing I am not sure of is the range of t. If you defined that integral from 3 to 0 the value of it would be negated to 3. I still think you did it right in defining it the way you did though. At least if it is wrong we will both be wrong.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.