### Home > CALC > Chapter 6 > Lesson 6.5.1 > Problem 6-168

6-168.

Determine what makes the integrals below "improper." Then, determine how to rewrite the integral using "proper" limit notation. Finally, find the area represented by each.

Does the graph of the integrand, *y* = *e*^{−}* ^{x}*, have any asymptotes on the bounded domain, [0, ∞)?

The answer should be very pleasing.

Before you rewrite as a limit, use *U*-substitution on the integrand and the bounds. Let *U* = ln(*x*).