document.write( "Question 985400: ∫▒(7x+8)/(2x^2+11x+5) dx\r
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Algebra.Com's Answer #606213 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! A(x+5)+B(2x+1)/{(x+5)(2x+1})=(7x+8)/{(x+5)(2x+1)} \n" ); document.write( "Therefore, A(x+5)+B(2x+1)=7x+8 \n" ); document.write( "Let x=-5 \n" ); document.write( "Then -9B=-27; B=3 \n" ); document.write( "; \n" ); document.write( "Let x= (-1/2) \n" ); document.write( "Then 4.5A=4.5 \n" ); document.write( "A=1 \n" ); document.write( "; \n" ); document.write( "This can be checked with a different number, x=1 \n" ); document.write( "integral of (1dx)/(2x+1) + integral (3dx)/(x+5)= \n" ); document.write( "ln|2x+1| + 3 ln|x+5| +C \n" ); document.write( " |