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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

Now for 5?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

What did you get?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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1000000000.7500005

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

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

What error? I do not understand.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Read post 58 to 61

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

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

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

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

The one that guy from India with the beard posted.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,175

I am getting for n = 3, 0.15605651313635455

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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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'

I'm not crazy, my mother had me tested.

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