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picture1_Study Pdf 89087 | C2 Trigint


picture2_Study Pdf 89087 | C2 Trigint picture3_Study Pdf 89087 | C2 Trigint

 109x       Filetype PDF       File size 0.29 MB       Source: sites.math.northwestern.edu


File: Study Pdf 89087 | C2 Trigint
1.6. TRIGONOMETRIC INTEGRALS AND TRIG. SUBSTITUTIONS 26 1.6. Trigonometric Integrals and Trigonometric Substitutions 1.6.1. TrigonometricIntegrals. Herewediscussintegralsofpow- ers of trigonometric functions. To that end the following half-angle ...

icon picture PDF Filetype PDF | Posted on 15 Sep 2022 | 2 years ago

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...Trigonometric integrals and trig substitutions trigonometricintegrals herewediscussintegralsofpow ers of functions to that end the following half angle identities will be useful sin x cosx remember also cos sec tan products sines cosines we study now form z m n xcos xdx including cases in which or i e cosnxdx sinmxdx simplest case is when either substitution u sinx respectively work example sinxcosxdx du cosxdx udu c more generally if at least one exponent odd then can use identity totransformtheintegrandintoanexpression containing only sine cosine xcosxdx sinxcosxcosxdx all exponents are even dx secants tangents integral tanx computed way tanxdx ln where analogously cotxdx secx a little tricky secxdx secxtanx cscxdx cscx cotx an xsec secxtanxdx since this it does not matter method so let s rst tanxsecxdx next solve same problem using second although answer looks dierent from obtained fact equivalent because they dier con stant previous here substitu tions some function find make sint ...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 15 Sep 2022 | 2 years ago
										
										
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Filetype: PDF
										
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												Wan learn