The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles:
(a) Use this definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit
A= lim n-->infinity ( f(x1)1/n +f(x2)1/n + ...+f(xn)1/n )
x1= x1+deltax = 1*deltax
My answer =
(b) Use the following formula for the sum of the cubes of the first integers to evaluate the limit in part (a).
I am not sure at all how to solve this part.
Any help greatly appreciated!!