Examine the integrals below. Consider the multiple tools available for integrating and use the best strategy for each part. Evaluate each integral and briefly describe your method.
You should have the first integral committed to memory.
For the second integral, let
This is an improper integral because the graph has a vertical asymptote at
. Rewrite this integral using limits and two separate integrals before evaluating.
Rewrite the integrand using exponents. This is also an improper integral.