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Home » Olympiad Section » Geometry » Geometry Theorems and Formulas
 
length of the given parabola
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math_dn12
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#1
length of the given parabola
length of the given parabola
please teaching me the formula for calculating the length of the given parabola!
thanks

PostPosted: Sat Jan 31, 2009 6:29 pm  Back to top 
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puuhikki
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#2
If f: [a,b]\to \mathbb{R} is continuous and differentiable on ]a,b[ then the length of the graph of f between a and b is \int_a^b\sqrt {1 + (f'(x))^2}dx. So you have to compute the integral \int_a^b\sqrt {1 + (cx+d)^2}dx.

PostPosted: Sun Feb 01, 2009 7:18 am  Back to top 
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