Use The Definition To Find An Expression For The Area Under The Curve Y = X3 From 0 To 1 As A Limit.

Monday, January 25, 2010

You should
create a partition of the interval [0,1] in n subintervals that have the following lengths such
that:

$\displaystyle\delta{x}_{{i}}=\frac{{{1}-{0}}}{{n}}=\frac{{1}}{{n}}$

$\displaystyle{x}_{{i}}=$
i*(1/n)

You need to use limit definitionto evaluate the definite integral
such that:

$\displaystyle{\int_{{0}}^{{1}}}{{x}}^{{3}}{\left.{d}{x}\right.}=\lim_{{{n}\to\infty}}{\sum_{{{i}={1}}}^{{n}}}\ldots$

Spooky Notes