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```
>>> integrate(f, 0, (3.141592653589793/4),4)
0.12645766198987884
```

Sweet Jesus, its still good enough

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

Now for 5?

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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```
>>> for i in xrange(5,11):
print integrate(f, 0, (3.141592653589793/4),i)
0.125091274611
0.125020215482
0.125018499911
0.125018481816
0.12501848174
0.12501848174
```

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

Hi;

You can empirically see that after n = 6 you have the 4 significant digits you require so that is the answer.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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Yes. That is what I was planning to do.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

When you get time check this page because your code is slightly off. There are implementations there that will help,

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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Why should it be off?

Thats just the formula...

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

You are probably out of alignment.

Try your formula out on this

f(x) = x^9 between 0 and 10 with 100000 intervals.

You should get 1000000000.75

After you do that I will show you one last thing that is really cute.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Yes. The correct answer should be 10^9.

Whats wrong with my code?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

What did you get?

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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1000000000.7500005

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

That is correct!

This is a plot of what the trapezoid rule is doing for n = 10:

Notice it sometimes went over and sometimes under. The second trapezoid is almost perfect.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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What about post 58?

OK, see you later, gotta go to school

*Last edited by Agnishom (2013-07-23 17:06:32)*

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

Have a good day at school and study hard.

Post #62 was the cute thing. The program not only does the calculation but shows graphically what it did.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Thanks. School was good.

Why is that error occuring?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

What error? I do not understand.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Read post 58 to 61

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

Hi;

It is possible there is a small problem with your code ( ever seen any code without bugs ?). But for the purposes of this discussion it worked well enough so I am happy.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Ofcourse there is some problem. Tell me where it is

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

What do you get for this problem here with n = 3

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Which problem? I am getting confused..

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

The one that guy from India with the beard posted.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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```
>>> for n in xrange(1,21):
integrate(f, 0, (3.141592653589793/4),n)
0.3926990816987245
0.19649262597124922
0.13907218235606786
0.12645766198987884
0.12509127461149278
0.12502021548220082
0.12501849991109948
0.12501848181618283
0.12501848174029692
0.12501848174018745
0.12501848174018715
0.12501848174018718
0.12501848174018754
0.12501848174018773
0.12501848174018718
0.12501848174018768
0.12501848174018726
0.12501848174018754
0.12501848174018723
0.1250184817401873
```

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,711

I am getting for n = 3, 0.15605651313635455

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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Why?

In that case, don't you think mine is better!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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