- #1
rocomath
- 1,755
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Arc Length, Irreducible quadratic factors
i'm having a hard time seeing this method, and i have to use this method on one of the problems I'm doing to find it's Arc Length.
[tex]L=\int_{\sqrt{2}}^{\sqrt{1+e^{2}}}\frac{v^{2}dv}{v^{2}-1}}[/tex]
the book suggests to first divide then use a u-substitution. i know that when the power in the numerator is greater than the denominator, i can perform long-division, but i don't see how i can divide this.
i'm having a hard time seeing this method, and i have to use this method on one of the problems I'm doing to find it's Arc Length.
[tex]L=\int_{\sqrt{2}}^{\sqrt{1+e^{2}}}\frac{v^{2}dv}{v^{2}-1}}[/tex]
the book suggests to first divide then use a u-substitution. i know that when the power in the numerator is greater than the denominator, i can perform long-division, but i don't see how i can divide this.
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