document.write( "Question 1182692: Give the integral of (2x)/(x^2+x-12) with respect to x. \n" ); document.write( "

Algebra.Com's Answer #812778 by ikleyn(52884) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Many people, when are asked about the integral of    $\"1%2Fx\"$ ,   mistakenly answer   ln(x) + Const.\r
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\n" ); document.write( "\n" ); document.write( "This answer is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( "The CORRECT answer is   ln(|x|) + Const.\r
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\n" ); document.write( "\n" ); document.write( "        And it works for BOTH positive and negative values of x (for all real values of x except of 0 (zero) ).\r
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\n" ); document.write( "\n" ); document.write( "Correspondingly,   the integral of    $\"1%2F%28x-a%29\"$   is   ln(|x-a|) + Const1   (at x =/= a);\r
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\n" ); document.write( "\n" ); document.write( "                            the integral of    $\"1%2F%28x%2Bb%29\"$   is   ln(x+b|) + Const2   (at x =/= -b).\r
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