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partial decomposition fraction situation! help?
Integrate (1/((x+1)(x^2+4))dx
i got as far as 1=A(x^2+4)+Bx+C(x+1)
but when you set x=-1: 1=5A-B+0 -> A-B=1/5
and this is where i got stuck, because how can i go further with two variables equal to one result? please help!
1 Answer
- ted sLv 79 years agoFavorite Answer
actually you need 3 equations in the 3 variables...but your procedure is not valid
1= A [ x² + 4 ] + { Bx + C } [ x + 1] , now let x = -1 , 0 , 1...note : - 1 yields A , 0 yields C
notation is all important to stop the errors
