Chapter 8.4, Problem 42E

Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using

(a) The given integration limits and (b) The limits obtained by Trigonometric Substitution.

${\displaystyle \underset{4}{\overset{8}{\int }}\frac{\sqrt{x^2-16}}{x^2}dx}.$

EXPLORING CONCEPTS

Choosing a method In Exercises 43 and 44, state the method of integration you would use to find each integral. Explain why you chose that method. Do not integrate.

${\displaystyle \int x\sqrt{x^2+1}dx.}$