SOLUTION: Find the first moment of area under the curve y=1+x+x^2,from x=0,x=2.

SOLUTION: Find the first moment of area under the curve y=1+x+x^2,from x=0,x=2.

Algebra.Com

Question 911169: Find the first moment of area under the curve y=1+x+x^2,from x=0,x=2.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
y=1+x+x^2
find Integral:
f(x) = x^3/3 + x^2/2 + x
Evaluate f(2) - f(0)
8/3 + 2 + 2 = 12/3 + 8/3 = 20/3 = 6 2/3
RELATED QUESTIONS
Find the first moment of the area under y = {e}^{−x} from x = 0 to x = 1 about... (answered by rothauserc)

Find (x,y) position of centroid of the area under the curve y = 1(plus)x(plus)x^2 from... (answered by Fombitz)

Find (x,y) position of centroid of the area under the curve y=1+x+x^2 from... (answered by rothauserc)

Find (x,y) position of the centroid of the area under the curve y=1+x+x^2.from x... (answered by Fombitz,ewatrrr)

calculate the area under the curve y=f(x)= x^2 ln(x^3) from x=0 to... (answered by Alan3354,rothauserc)

find the area under the curve of f(x)= x^3-3x^2+2x+1 from x=0, to x=1 (answered by htmentor)

Find the area under the curve: y = 4x + (1/x2) from x = 1 to x =... (answered by jsmallt9)

Find (x,y) position of centroid of the area under curve y=e^(-x) from x=0 to x=1.assume... (answered by Fombitz)

Find the centroid of the area under y = 1 + x + {x}^{2} from x = 0 to x =... (answered by rothauserc)