Trigonometric Substitution Involving a Definite Integral: Part Two (9.5.3)

Question 1

How do you solve a definite integral by substitution?

Answer 1

• When computing a definite integral using substitution, first ignore the limits of integration and treat the integral like an indefinite integral. Convert back to the original variable before evaluating at the endpoints.

Question 2

What purpose does the labeled right triangle serve?

Answer 2

• The labeled right triangle serves as a dictionary for making trig substitutions.