Posted by Akitsuke on Monday, September 15, 2008 at 10:45am.
Find the area lenght of the portion of the curve y=2xx^2 with 0<=x<=2.
can you show me the solution and explain it deeper cause i don't know the concept.
thanks a lot.. :)

Integral Calculus  Reiny, Monday, September 15, 2008 at 11:00am
not sure what you mean by "area length"
1. do you want the area of the parabola from x = 0 to x = 2, which is where the parabola cuts the xaxis?
If so, then it would simply be
Integral (2x  x^2)dx from 0 to 2
= (x^2  1/3(x^3)│from 0 to 2
= 4  8/3
= 4/3
2. Do you want the perimeter of that region?
If so, then it would be the curved part of the parabola above the xaxis plus the straight line from 0 to 2
find the arc length by following
http://www.mathwords.com/a/arc_length_of_a_curve.htm
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