SOLUTION: Integrationof 2x/(1+log (1+x))

Question 1113020: Integrationof 2x/(1+log (1+x))
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the solution of this problem requires the use of an exponential integral and a logarithmic integral
:
2x/(1+log (1+x))
:
assumption is log refers to base 10 log function
:
1/100 log(100) (Ei(2 log(10 (1 + x))) - 10 li(10 (1 + x))) + constant
:
Note that Ei is the exponential integral and li is the logarithmic integral
:
Euler is responsible for defining the formula for Ei(z), other mathematicians came up with an approximation formula
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Gauss introduced the Li function during his study of prime numbers
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