$int ^infty_0 frac{log (1+t)}{(t+a)^2}e^frac{-t}{b}dt$











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A question about integration



find the the integral of $int ^infty_0 frac{log (1+t)}{(t+a)^2}e^frac{-t}{b}dt$



can some help me to how to find this integral please thank you very much










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  • What have you tried so far? What do we know about a and b?
    – Stockfish
    Nov 14 at 10:40












  • I suppose you want to assume that $a,b$ are both positive.
    – uniquesolution
    Nov 14 at 10:41






  • 1




    For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
    – Claude Leibovici
    Nov 14 at 10:54















up vote
-2
down vote

favorite












A question about integration



find the the integral of $int ^infty_0 frac{log (1+t)}{(t+a)^2}e^frac{-t}{b}dt$



can some help me to how to find this integral please thank you very much










share|cite|improve this question






















  • What have you tried so far? What do we know about a and b?
    – Stockfish
    Nov 14 at 10:40












  • I suppose you want to assume that $a,b$ are both positive.
    – uniquesolution
    Nov 14 at 10:41






  • 1




    For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
    – Claude Leibovici
    Nov 14 at 10:54













up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











A question about integration



find the the integral of $int ^infty_0 frac{log (1+t)}{(t+a)^2}e^frac{-t}{b}dt$



can some help me to how to find this integral please thank you very much










share|cite|improve this question













A question about integration



find the the integral of $int ^infty_0 frac{log (1+t)}{(t+a)^2}e^frac{-t}{b}dt$



can some help me to how to find this integral please thank you very much







real-analysis integration






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 14 at 10:36









learner

857




857












  • What have you tried so far? What do we know about a and b?
    – Stockfish
    Nov 14 at 10:40












  • I suppose you want to assume that $a,b$ are both positive.
    – uniquesolution
    Nov 14 at 10:41






  • 1




    For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
    – Claude Leibovici
    Nov 14 at 10:54


















  • What have you tried so far? What do we know about a and b?
    – Stockfish
    Nov 14 at 10:40












  • I suppose you want to assume that $a,b$ are both positive.
    – uniquesolution
    Nov 14 at 10:41






  • 1




    For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
    – Claude Leibovici
    Nov 14 at 10:54
















What have you tried so far? What do we know about a and b?
– Stockfish
Nov 14 at 10:40






What have you tried so far? What do we know about a and b?
– Stockfish
Nov 14 at 10:40














I suppose you want to assume that $a,b$ are both positive.
– uniquesolution
Nov 14 at 10:41




I suppose you want to assume that $a,b$ are both positive.
– uniquesolution
Nov 14 at 10:41




1




1




For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
– Claude Leibovici
Nov 14 at 10:54




For $a=1$, there is an analytical solution (I am sure that you will not enjoy it). This seems to be a good candidate for numerical integration.
– Claude Leibovici
Nov 14 at 10:54















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