integral of <||cos t, sin t, t||> dt

the answer in the back has a natural log and i don't get it when i work it out???

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- Jun 12th 2008, 07:03 AMchris25integration of 3 variables
integral of <||cos t, sin t, t||> dt

the answer in the back has a natural log and i don't get it when i work it out??? - Jun 12th 2008, 07:19 AMMoo
- Jun 12th 2008, 07:45 AMchris25
no it means the length

- Jun 12th 2008, 07:47 AMMoo
- Jun 12th 2008, 07:56 AMchris25
evaluate the indefinite integral...

S||(cos t**i**+ sin t**j**+**t**k )|| dt - Jun 12th 2008, 07:58 AMMoo
- Jun 12th 2008, 08:07 AMMathstud28

let

so

Giving us after simplification

Which by a manipulation and double parts gives http://www.mathhelpforum.com/math-he...-integral.html

Now back subbing in that

we get

- Jun 12th 2008, 08:40 PMmr fantastic
- Jun 12th 2008, 08:47 PMMathstud28
- Jun 12th 2008, 11:32 PMMoo