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Integration by substitution , Exercises of Calculus

Al-Aqsa UniversityCalculus

Integration by substitution explains the use of Beta function.

Typology: Exercises

2017/2018

Uploaded on 03/01/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

4.6

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50 Evaluate: [ (4 = vx) ax 0 Solution: Lety=1—-—Vx>x=1-y* > dx =-20-y)dy whenx=0,y=1andwhenx=1,y=0 1 5 Thus, { (1 - Vx) dx = 2{ y(y —Ddy =2 0 1 0 r(51)T (2) r(53) r(51)r(2) r(53) 1 5 Consequently, | Gt - vx) "dx ae 0 IMR.OSAMA ABDULFATTAH ALSATTARI