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#26 2013-06-18 23:23:12

ShivamS
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Re: basic calculus

I agree that there is a lot of maths in computer science, however majority of the programmers nowadays are not very aware of that. They go into programming for a good job and nothing else.


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#27 2013-06-18 23:27:00

bobbym
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Re: basic calculus

The people who are paying them are the ones that need an education. Is it the boys at Redmond?


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.

#28 2013-06-23 03:17:03

Agnishom
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Re: basic calculus

What is the integral of tan x?


'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'
'Who are you to judge everything?' -Alokananda

#29 2013-06-23 03:18:52

anonimnystefy
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Re: basic calculus

-ln(cos(x))+C.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#30 2013-06-23 03:33:09

Agnishom
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Re: basic calculus

or rather ln(sec(x)) + C.

Now, how do you differentiate ln(sec(x)) step by step. I guess there is a substitution method


'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'
'Who are you to judge everything?' -Alokananda

#31 2013-06-23 03:40:20

bobbym
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Re: basic calculus

Use the chain rule.


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.

#32 2013-06-23 03:54:59

Agnishom
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Re: basic calculus

Let y = log(sec(x)) and u = sec(x)
Clearly, du/dx = sec(x)tan(x)
and, dy/du = 1/u = 1/sec(x)
Therefore, (du/dx)*(dy/du)= dy/dx = tan(x)

What is chain rule?

Anyhow, how do I integrate tan(x) by hand?


'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'
'Who are you to judge everything?' -Alokananda

#33 2013-06-23 03:58:41

bobbym
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Re: basic calculus

That was funny, right?


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.

#34 2013-06-23 04:03:46

Agnishom
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Re: basic calculus

Math is Fun. I am not sure if it is funny


'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'
'Who are you to judge everything?' -Alokananda

#35 2013-06-23 04:04:51

bobbym
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Re: basic calculus

I mean about the chain rule. You did it!


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.

#36 2013-06-23 04:06:50

Agnishom
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Re: basic calculus

Ha ha ha! So, thats called the chain rule!

Achchha, how do I integrate tan(x) by hand?


'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'
'Who are you to judge everything?' -Alokananda

#37 2013-06-23 04:08:26

bobbym
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Re: basic calculus

I use a package or a table.


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.

#38 2013-06-23 04:10:24

zetafunc.
Guest

Re: basic calculus

Write tan(x) = sin(x)/cos(x).

#39 2013-06-23 04:13:06

Agnishom
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Re: basic calculus

zetafunc. wrote:

Write tan(x) = sin(x)/cos(x).

Then?
Please continue


'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'
'Who are you to judge everything?' -Alokananda

#40 2013-06-23 04:15:19

bobbym
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Re: basic calculus

That is the first step. Set u = cos(x)


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.

#41 2013-06-23 04:18:56

Agnishom
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Re: basic calculus

I am lost.

What technique should I use?


'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'
'Who are you to judge everything?' -Alokananda

#42 2013-06-23 04:22:30

bobbym
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Re: basic calculus

du = - sin(x) dx


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.

#43 2013-06-23 04:28:51

Agnishom
Real Member
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Re: basic calculus

But why are you doing this?
I wanted an interation of it


'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'
'Who are you to judge everything?' -Alokananda

#44 2013-06-23 04:29:20

zetafunc.
Guest

Re: basic calculus

Are you familiar with integration by substitution?

#45 2013-06-23 04:29:58

bobbym
Administrator

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Re: basic calculus

Because you are already done! Look at the numerator and what du equals.


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.

#46 2013-06-23 04:39:54

Agnishom
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Re: basic calculus

I think I can do it now.
I will try the next time I wake up


'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'
'Who are you to judge everything?' -Alokananda

#47 2013-06-23 04:43:18

bobbym
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Re: basic calculus

See the sin(x) dx? Well you have du = - sin(x) dx and u = cos(x)

You get -du/u, which you can certainly integrate.


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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