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Integration by substitution , Exams of Mathematics

Al-Aqsa UniversityMathematics

Integration by special substitution

Typology: Exams

2016/2017

Uploaded on 10/18/2017

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

4.6

(5)

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Evaluate th llowing int tr: valuate the following integra i Faroe Solution: Let y = —cosx + sinx => dy = (sinx + cosx)dx “. y* = cos*x + sin®x — sin2x => sin2x =1-—y? simx + cosx i dy Thaw, | Om a = 3+ sin2x 3+(1-y?) ~L=AZ+y)+B(2-y) 1 Hence,when y = 2,8 = een y=-2,A= Se ee eee 34+ sin2x 4 MR.OSAMA A.A. ALSATTARI i sinx + cosx 1 é — cosx + sinx 2+ cosx — sinx sinx + cosx dx