<PRE><B>Question 985400</B>
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</PRE>