Some of the following problems require the method of integration by parts. Make careful and precise use of the differential notation and and be careful when arithmetically and algebraically simplifying expressions.Ĭlick HERE to see a detailed solution to problem 1.Ĭlick HERE to see a detailed solution to problem 2.Ĭlick HERE to see a detailed solution to problem 3.Ĭlick HERE to see a detailed solution to problem 4.Ĭlick HERE to see a detailed solution to problem 5.Ĭlick HERE to see a detailed solution to problem 6.Ĭlick HERE to see a detailed solution to problem 7.Ĭlick HERE to see a detailed solution to problem 8.Ĭlick HERE to see a detailed solution to problem 9.Ĭlick HERE to see a detailed solution to problem 10.Ĭlick HERE to see a detailed solution to problem 11.Ĭlick HERE to see a detailed solution to problem 12.Ĭlick HERE to see a detailed solution to problem 13.Ĭlick HERE to see a detailed solution to problem 14.Ĭlick HERE to see a detailed solution to problem 15.Ĭlick HERE to see a detailed solution to problem 16.Ĭlick HERE to see a detailed solution to problem 17.Ĭlick HERE to see a detailed solution to problem 18.Ĭlick HERE to see a detailed solution to problem 19. Most of the following problems are average. We will assume knowledge of the following well-known, basic indefinite integral formulas : The next four indefinite integrals result from trig identities and u-substitution. These lead directly to the following indefinite integrals. It is assumed that you are familiar with the following rules of differentiation. Some of the following trigonometry identities may be needed.

$trig integral identities cheat sheet$

The following indefinite integrals involve all of these well-known trigonometric functions.

Recall the definitions of the trigonometric functions.

Trig integral identities cheat sheet