Choosing Effective Function Decompositions (9.3.4)

Question 1

• Experiment with different choices for u when using integration by substitution. A good choice is one whose derivative is expressed elsewhere in the integrand.

Answer 1

• Experiment with different choices for u when using integration by substitution. A good choice is one whose derivative is expressed elsewhere in the integrand.

Question 2

• When working with integrands that include trigonometric expressions, it is sometimes necessary to rewrite those expressions using trig identities.

Answer 2

• When working with integrands that include trigonometric expressions, it is sometimes necessary to rewrite those expressions using trig identities.