Question

Please help with an integration problem...equation attached.

Answer 1

Prove that \[\int\limits_{0}^{1}x^2dx = 1/3 \] by computing the \left endpoint approximation

Answer 2

so the other day we started from right endpoint

Answer 3

today we are going to start from left endpoint

Answer 4

good memory, am I looking for an equation first?

Answer 5

this is what f(x)=x^2 where x is between 0 and 1 looks like

we are going to build rectangles starting from the left endpoint
all rectangles with equal base
so we will still have the same deltax formula
that is we will divide the length between the endpoints by n

we are coming up with the sum of the n rectangles expression

then we are going to take n to go to infinity