Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2012-10-26 22:46:22

Johnathon bresly
Guest

Integral of trigonometry

How do I solve this-

#2 2012-10-26 22:53:46

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Integral of trigonometry

Hi

That function doesn't have an antiderivative among the standard mathematical functions.

Where does that integral come from anyway?

Last edited by anonimnystefy (2012-10-26 22:54:23)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#3 2012-10-26 23:00:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

Hi;

Most do not. I am unable to find one for that.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#4 2012-10-27 00:31:28

zetafunc.
Guest

Re: Integral of trigonometry

I wonder how W|A got their series. This certainly does not look very nice. Unless there is some sort of extraordinarily clever substitution that can be made here.

#5 2012-10-27 00:40:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

Hi;

That is done with the Series command. Mathematica can differentiate anything so Mclaurin series are easy for it.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#6 2012-10-27 00:42:42

zetafunc.
Guest

Re: Integral of trigonometry

I see.

They also appear to have blocked you from using the 'more time' command, unless you are a subscriber.

#7 2012-10-27 00:45:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

I have emailed them several times to not put any restrictions on the site such as that. Seems like every time I did they took something away.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#8 2012-10-27 00:47:03

zetafunc.
Guest

Re: Integral of trigonometry

Soon W|A will not be free at all.

#9 2012-10-27 00:50:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

You might be right. Corporate boobs think only in terms of money. They only know two ways to make it. Charge for what is currently free and raise the price on what isn't.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#10 2012-10-27 00:53:38

zetafunc.
Guest

Re: Integral of trigonometry

I hope I am wrong, it has always been my quick go-to way of checking my answers.

#11 2012-10-27 00:54:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

Correct, that is one use of a CAS!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#12 2012-10-27 01:13:40

Johnathon bresly
Guest

Re: Integral of trigonometry

Actually,my brother challenged me to solve it,and I couldn't solve it,so I came here for help.

#13 2012-10-27 01:15:25

zetafunc.
Guest

Re: Integral of trigonometry

It looks like something that he made up on the spot and he probably does not have a solution at hand.

#14 2012-10-27 02:01:51

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Integral of trigonometry

It is probable nobody has a solution (other than W|A's series).


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#15 2012-10-27 08:53:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Integral of trigonometry

Hi;

Actually,my brother challenged me to solve it,and I couldn't solve it,so I came here for help.

I think you should re-challenge your brother and humbly ask him for the solution.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

Board footer

Powered by FluxBB