SOLUTION: Find (x,y) position of the centroid of the area under the curve y=1+x+x^2.from x =1,x=2.?

Question 911570: Find (x,y) position of the centroid of the area under the curve y=1+x+x^2.from x =1,x=2.?
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First integrate to find the area.

To find the centroid,

and

where and are the centroid of the differential element

So substituting,

and

.
.
.

and

.
.
.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
y = x^2 + x + 1
Take Integral
f(x) = x^3/3 + x^2/2 + x
A = f(2) - f(1) = 20/3 - 11/6 = 4.833
x = (1/A)
Evaluating: x^4/4 + x^3/3 + x^2/2] from 1 to 2 = 7.5833
y = (1/A)
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