### 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. Homework Help ✎

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

The answer should be very pleasing.

have any asymptotes on the bounded domain, [–3, 2]?

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