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Find the exact length of the curve.

0 votes

Find the exact length of the curve.

asked Feb 2, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The curve is image.

Find image.

Consider image.

Differentiate with respect to image.

image

Find image.

Consider image.

Differentiate with respect to image.

image

image

Find .

image

image

Step 2:

If the curve is described by image  and image then,the length of the curve is,

image

image

image.

Substitute image , image and limits of image in above expression.

image

image

Length of the curve is image.

Solution:

The exact length of the curve is image.

answered Feb 3, 2015 by cameron Mentor

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