document.write( "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.? \n" ); document.write( "

Algebra.Com's Answer #553190 by ewatrrr(24785) $\"\"$ $\"About$

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y = x^2 + x + 1
\n" ); document.write( "Take Integral
\n" ); document.write( "f(x) = x^3/3 + x^2/2 + x
\n" ); document.write( "A = f(2) - f(1) = 20/3 - 11/6 = 4.833
\n" ); document.write( "x = (1/A)

\n" ); document.write( "Evaluating: x^4/4 + x^3/3 + x^2/2] from 1 to 2 = 7.5833
\n" ); document.write( "y = (1/A) $\"int%28%28+x%5E2+%2B+x+%2B+1%29%5E2%2F2%2C+dx%2C+1%2C+2%29\"$ \n" ); document.write( "

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