Chapter 7 TECHNIQUES OF INTEGRATION In this chapter
- Slides: 15
Chapter 7 TECHNIQUES OF INTEGRATION In this chapter we develop techniques for using these basic integration formulas to obtain indefinite integrals of more complicated functions.
Sec 7. 1: INTEGRATION BY PARTS formula for integration by parts. Example Find
Sec 7. 1: INTEGRATION BY PARTS formula for integration by parts. REMARK 1: aim in using integration by parts is to obtain a simpler integral than the one we started with. Example Find Previous Example
Sec 7. 1: INTEGRATION BY PARTS Example Find REMARK 2: in some integral, we may need to apply integration by parts several times. Example Find
Sec 7. 1: INTEGRATION BY PARTS formula for integration by parts. Example Find REMARK 3: sometimes a repeated application of integration by parts leads back to an integral similar to our original one. If so, this expression can be combined with original integral.
Sec 7. 1: INTEGRATION BY PARTS KEY: The key in integration by parts is how to select the function u and dv. You can get this by solving many …. many problems. General guideline is LIATE (ILATE) Guidelines for Choosing u: 1) choose u to be that part whose derivative is a simpler function than u itself. 2) choose dv to be the part that can be easily integrated. Guidelines for selecting u L ogarithm I nvers trig A lgebric T rignometric E xponential
Sec 7. 1: INTEGRATION BY PARTS Final Term 121
Sec 7. 1: INTEGRATION BY PARTS E 2 Term 061
Sec 7. 1: INTEGRATION BY PARTS
Sec 7. 1: INTEGRATION BY PARTS Exam 2 Term 082 Exam 2 Term 102
Exam 2 Term 092