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 Jan2 comment Finding in terms of via integration Hint : use that $\sin^{98}(x)\sin^2(x) = \sin^{98}(x) (1 - \cos^2(x) )$ and then use an integration by parts knowing that $\frac{(\sin^{99}(x))}{99} '= \sin^{98}\cos(x)$ Nov2 revised Evaluation of $I_{a,b} = \int_{1}^{+\infty} \frac{\ \exp{(-at)}}{ 1-bt} \ \mathrm{d}t$ deleted 13 characters in body Oct18 accepted Evaluate or Simplify $\int_{a}^{+\infty} \frac{\exp(-bx)}{x+c} Ei(x) dx$ Jun4 revised Double integral $\int_{z=u}^{+\infty}\int_{t=u}^{+\infty}\frac{e^{-Az}}{z+B}\frac{te^{-tD}}{t-zC}\,dtdz$ deleted 8 characters in body Jun4 answered Double integral $\int_{z=u}^{+\infty}\int_{t=u}^{+\infty}\frac{e^{-Az}}{z+B}\frac{te^{-tD}}{t-zC}\,dtdz$ Jun2 revised Evaluate or Simplify $\int_{a}^{+\infty} \frac{\exp(-bx)}{x+c} Ei(x) dx$ edited body Jun1 comment Evaluate or Simplify $\int_{a}^{+\infty} \frac{\exp(-bx)}{x+c} Ei(x) dx$ @GEdgar in that case the integral does not converge. Jun1 asked Evaluate or Simplify $\int_{a}^{+\infty} \frac{\exp(-bx)}{x+c} Ei(x) dx$ Jun1 revised Evaluation of $I_{a,b} = \int_{1}^{+\infty} \frac{\ \exp{(-at)}}{ 1-bt} \ \mathrm{d}t$ Corrected title May31 revised Exact value of an integral remove an impolite expression May31 suggested approved edit on Exact value of an integral May31 answered Solutions of an integral equation May28 awarded Suffrage May28 accepted Evaluation of $I_{a,b} = \int_{1}^{+\infty} \frac{\ \exp{(-at)}}{ 1-bt} \ \mathrm{d}t$ May28 accepted How demonstrate the Craig representation for the Gaussian probability function? May28 comment How demonstrate the Craig representation for the Gaussian probability function? Alright then, thanks anyway :) May27 comment How demonstrate the Craig representation for the Gaussian probability function? Well Done @Didier, About the Craig's proof I refered to this [pdf document][1]. When I searching I found a book called : "Probability Distributions Involving Gaussian Random Variables" state that : <> pg.123. If this is clear for you, how can be done? [1]:wsl.stanford.edu/~ee359/craig.pdf May27 revised How demonstrate the Craig representation for the Gaussian probability function? improved formatting May27 comment How demonstrate the Craig representation for the Gaussian probability function? Thanks @DavideGiraudo for fixing it. May27 revised How demonstrate the Craig representation for the Gaussian probability function? edited body