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**Julieeeee****Guest**

I'd like to check my result. I have to find area between

axis. I got**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

Hi Julieeeee;

Is the purple shaded area what you want?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Julieeeee****Guest**

Yes, I also got this picture

**TheDude****Member**- Registered: 2007-10-23
- Posts: 361

That's the answer I get Julie.

Wrap it in bacon

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

Hi Julieeeee;

Welcome to the forum.

This is what I did:

What did you do?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Julieeeee****Guest**

Thank you guys.

I did

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

Hi Julieeeee;

That is correct and nice and simple.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Julieeeee****Guest**

What about tangent touching graph of

at a pointI get

And also...

But wolfram alpha says

Why is that so?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

Hi Julieeeee;

I am getting that for a tangent also. How did you get yours?

For that integral, Maple gets the first answer too. Might be that an absolute value is wrapped around each term and they have both left it out...

When I do it by hand I do not get Alpha's answer either.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Julieeeee****Guest**

by implicit differentiation I get

Hence

Thank you bobbym

**Julieeeee****Guest**

bobbym wrote:

When I do it by hand I do not get Alpha's answer either.

Do you get my answer?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

Hi;

Have you seen an implicit plot of that equation?

Yes, I get your answer when I do the integration.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Julieeeee****Guest**

did you also do it like me?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,255

The tangent problem? No I used geogebra to get the tangents for me. But when I look at the graph I am not so sure of the answer we are all getting.

Question: Are you satisfied with your tangent line?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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