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8.1 Arc Length
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Arc Length: if f is continuous on [a, b], then the length of the curve y = f(x) , a ≤ x ≤ b, is
![Arc Length: if f is continuous on [a, b], then the length of the curve y = f(x) , a ≤ x ≤ b, is](http://slideplayer.com/slide/16669199/96/images/2/Arc+Length%3A+if+f%EF%82%A2+is+continuous+on+%5Ba%2C+b%5D%2C+then+the+length+of+the+curve+y+%3D+f%28x%29+%2C+a+%E2%89%A4+x+%E2%89%A4+b%2C+is.jpg "Arc Length: if f is continuous on [a, b], then the length of the curve y = f(x) , a ≤ x ≤ b, is")
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Ex 1: Find the length of the arc of the curve,
Ex 1: Find the length of the arc of the curve, y2 = x3 between the points (1, 1) and (4, 8).
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Ex 2: Find the length of the arc of the curve,
x = y2 between the points (0, 0) and (1, 1).
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Arc Length Function:
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8.1 pg. 546 #1, 3, 5 – 17 EOO, 19, 21
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Ex 3: Set up the integral for the length of the arc of the hyperbola xy = 1 from the point (1, 1) to (2, ½). Use your calculator to evaluate. 4
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