Question 985400: ∫▒(7x+8)/(2x^2+11x+5) dx
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! A(x+5)+B(2x+1)/{(x+5)(2x+1})=(7x+8)/{(x+5)(2x+1)}
Therefore, A(x+5)+B(2x+1)=7x+8
Let x=-5
Then -9B=-27; B=3
;
Let x= (-1/2)
Then 4.5A=4.5
A=1
;
This can be checked with a different number, x=1
integral of (1dx)/(2x+1) + integral (3dx)/(x+5)=
ln|2x+1| + 3 ln|x+5| +C
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