# calculus

posted by
**Lindsay**
.

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer.

a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100.

B) What happens to the graph and to the value of the integral as N-->infinity? Does the graph confirm the limiting behavior of the integral's value?