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











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












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















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














 

draft saved


draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2998109%2fint-infty-0-frac-log-1tta2e-frac-tbdt%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















 

draft saved


draft discarded



















































 


draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2998109%2fint-infty-0-frac-log-1tta2e-frac-tbdt%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Plaza Victoria

Puebla de Zaragoza

Musa