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Find the arc length of the graph of the function over the indicated interval.

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Find the arc length of the graph of the function over the indicated interval.

asked Feb 16, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The curve is .

Observe the graph, the interval of image is .

Definition of the arc length:

If the curve , , then the length of the curve is defined as,

.

Here and .

Consider .

Differentiate with respect to on each side.

Step 2:

Substitute and limits of in arc length formula.

image

Solution:

The arc length of the curve is image.

answered Feb 17, 2015 by cameron Mentor

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