document.write( "Question 906055: integrate (1)/(sqrt (x)+(x)(sqrt(x))) dx \n" ); document.write( "
Algebra.Com's Answer #549625 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"int%28dx%2F%28sqrt%28x%29%2Bx%2Asqrt%28x%29%29%29\"\r\n" );
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document.write( "\"int%28dx%2F%28+sqrt%28x%29%281%2Bx%29+%29%29\"\r\n" );
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document.write( "Let \"u=sqrt%28x%29\", \"u%5E2=x\"\r\n" );
document.write( "    \"matrix%282%2C1%2C%22%22%2Cu=x%5E%281%2F2%29%29\"\r\n" );
document.write( "    \"matrix%282%2C1%2C%22%22%2Cdu=expr%281%2F2%29x%5E%28-1%2F2%29dx%29\"\r\n" );
document.write( "    \"du=dx%2F%282x%5E%221%2F2%22%29\"\r\n" );
document.write( "    \"du=dx%2F%282sqrt%28x%29%29\"\r\n" );
document.write( "    \"du=dx%2F%282u%29\"\r\n" );
document.write( "    \"2u%2Adu=dx\"\r\n" );
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document.write( "Substitute for \"x\", \"dx\", and \"sqrt%28x%29\"\r\n" );
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document.write( "\"int%282u%2Adu%2F%28u%281%2Bu%5E2%29%29%29\" \r\n" );
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document.write( "\"int%282cross%28u%29%2Adu%2F%28cross%28u%29%281%2Bu%5E2%29%29%29\"\r\n" );
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document.write( "\"int%282du%2F%281%2Bu%5E2%29%29\"\r\n" );
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document.write( "\"2int%28du%2F%281%2Bu%5E2%29%29\"\r\n" );
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document.write( "\"2%2Aexpr%281%2F1%29arctan%28u%2F1%29%2BC\"\r\n" );
document.write( "\r\n" );
document.write( "\"2arctan%28u%29%2BC\"\r\n" );
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document.write( "\"2arctan%28sqrt%28x%29%29%2BC\"\r\n" );
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document.write( "Edwin
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