document.write( "Question 1113020: Integrationof 2x/(1+log (1+x)) \n" ); document.write( "

Algebra.Com's Answer #728076 by rothauserc(4718) $\"\"$ $\"About$

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the solution of this problem requires the use of an exponential integral and a logarithmic integral
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\n" ); document.write( "2x/(1+log (1+x))
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\n" ); document.write( "assumption is log refers to base 10 log function
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\n" ); document.write( "1/100 log(100) (Ei(2 log(10 (1 + x))) - 10 li(10 (1 + x))) + constant
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\n" ); document.write( "Note that Ei is the exponential integral and li is the logarithmic integral
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\n" ); document.write( "Euler is responsible for defining the formula for Ei(z), other mathematicians came up with an approximation formula
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\n" ); document.write( "Gauss introduced the Li function during his study of prime numbers
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