document.write( "Question 585836: Evaluate the indefinite integral using substitution for: 3^x. \n" ); document.write( "
Algebra.Com's Answer #373542 by Edwin McCravy(20065)\"\" \"About 
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document.write( "Evaluate the indefinite integral using substitution for: 3^x.\r\n" );
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document.write( "\"int%283%5Ex%2Cdx%29\"\r\n" );
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document.write( "Let u = \"3%5Ex\"\r\n" );
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document.write( "ln(u) = ln(\"3%5Ex\")\r\n" );
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document.write( "ln(u) = x·ln(3)\r\n" );
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document.write( "Take the differential of both sides, remembering that ln(3) is a constant:\r\n" );
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document.write( "\"%28du%29%2Fu\" = ln(3)·dx\r\n" );
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document.write( "Solve for dx by dividing both sides by ln(3)\r\n" );
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document.write( "\"%28du%29%2F%28u%2Aln%283%29%29\" = dx\r\n" );
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document.write( "Substitute u for \"3%5Ex\" and \"%28du%29%2F%28u%2Aln%283%29%29\" for dx:\r\n" );
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document.write( "\"int%283%5Ex%2Cdx%29\" = \"int%28u%2Aexpr%28%28du%29%2F%28u%2Aln%283%29%29%29%29\" = \"int%28u%2Adu%2F%28u%2Aln%283%29%29%29\" = \"int%28cross%28u%29%2Adu%2F%28cross%28u%29%2Aln%283%29%29%29\" = \"int%28%28du%29%2Fln%283%29%29\" = \"expr%281%2Fln%283%29%29%2Aint%28du%29\" = \"expr%281%2Fln%283%29%29\"u + C = \"expr%281%2Fln%283%29%29\"u + C = \"expr%281%2Fln%283%29%29\"\"3%5Ex\" + C = \"3%5Ex%2Fln%283%29%29\" + C\r\n" );
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document.write( "Edwin
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