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Find the centroid of the region bounded by the given curves.

0 votes

Find the centroid of the region bounded by the given curves.

asked Jan 29, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function are and in the interval of .

The centroid of the region is .

Where and .

The area of the region is .

Upper curve is .

Lower curve is .

.

Step 2:

Find the centroid :

.

Apply integration by parts :image.

Consider,

And

.

Step 3:

.

.

Solution :

The centroid of the region is .

answered Jan 30, 2015 by joseph Apprentice
edited Jan 31, 2015 by joseph

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