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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Hello, Originally Posted by chris25 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??? Is it ||...|| for the norm in basis 2 ? It would be
no it means the length
Originally Posted by chris25 no it means the length Well, it has to be the same... Can you state and write the exact question ? Are there really < and > ?
evaluate the indefinite integral... S||(cos t i + sin t j + t k )|| dt
Originally Posted by chris25 evaluate the indefinite integral... S||(cos t i + sin t j + t k )|| dt So yeah, you have to calculate But I'm not sure how to calculate it...
Originally Posted by Moo So yeah, you have to calculate But I'm not sure how to calculate it... 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
Originally Posted by Mathstud28 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 The substitution will reduce the algebra.
Originally Posted by mr fantastic The substitution will reduce the algebra. Yeah, but I wanted to supply a more commonly known sub But to explain what Mr. F astutely noted Let So Giving us Now making the appropriate hyperbolic identity we get Now just back sub
Originally Posted by mr fantastic The substitution will reduce the algebra. Actually, the OP mentioned that the answer contained a logarithm
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