document.write( "Question 877665: Please help me solve this equation:\r
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Algebra.Com's Answer #529523 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"int%28sqrt%28x%2B4%29%2Fx%2Cdx%29\"\r\n" );
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document.write( "Let \"u=sqrt%28x%2B4%29\"\r\n" );
document.write( "Then \"u%5E2=x%2B4\"\r\n" );
document.write( "and  \"x=u%5E2-4\"\r\n" );
document.write( "and  \"dx=2u%2Adu\"\r\n" );
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document.write( "Substituting in the integral:\r\n" );
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document.write( "\"int%28%28u%2F%28u%5E2-4%29%29%2C2u%2Adu%29\"\r\n" );
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document.write( "\"int%28%282u%2F%28u%5E2-4%29%29%2Cdu%29\"\r\n" );
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document.write( "\"2%2Aint%28%28u%5E2%2F%28u%5E2-4%29%29%2Cdu%29\"\r\n" );
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document.write( "Work on \"u%5E2%2F%28u%5E2-4%29\" by adding -4+4 so part of the numerator\r\n" );
document.write( "will be like the denominator:\r\n" );
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document.write( "             \"%28u%5E2-4%2B4%29%2F%28u%5E2-4%29\"\"%22%22=%22%22\"\"%28u%5E2-4%29%2F%28u%5E2-4%29%2B4%2F%28u%5E2-4%29\"\"%22%22=%22%22\"\"1%2B4%2F%28u%5E2-4%29\"\r\n" );
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document.write( "So the integral becomes:\r\n" );
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document.write( "\"2%2Aint%28%281%2B4%2F%28u%5E2-4%29%29%2Cdu%29\"\r\n" );
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document.write( "\"2%28int%281%2Cdu%29%2Bint%284%2F%28u%5E2-4%29%2Cdu%29%29\"\r\n" );
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document.write( "\"2%28u%2B4%2Aint%281%2F%28u%5E2-4%29%2Cdu%29%29\"\r\n" );
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document.write( "Use the formula \"int%281%2F%28u%5E2-a%5E2%29%2Cdu%29\"\"%22%22=%22%22\"\"expr%281%2F%282a%29%29ln%28abs%28%28u-a%29%2F%28u%2Ba%29%29%29%2BC\"\r\n" );
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document.write( "\"2%28u%2B4%2Aexpr%281%2F%282%2A2%29%29ln%28abs%28%28u-2%29%2F%28u%2B2%29%29%29%29%2BC%29\"\r\n" );
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document.write( "\"2%28u%2Bln%28abs%28%28u-2%29%2F%28u%2B2%29%29%29%29%2BC%29\"\r\n" );
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document.write( "Substitute \"u=sqrt%28x%2B4%29\"\r\n" );
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document.write( "Edwin
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