Mixing
Primitive with Cebisev's subtitution
$begingroup$
Can somebody give me some tips on how to determine the primitive of $frac{x^{23}}{x^{32}+1} dx$, please?
Sorry for not using latex but I'm writing on the phone and I can't see the editor. I tried using Cebisev's subtitution and I get $t=x^{17/2}$ and I don't know what to do after. Can somebody help me please? And sorry for the bad writing.
calculus integration
edited Jan 13 at 22:39
projectilemotion
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
$endgroup$
add a comment |
$begingroup$
Can somebody give me some tips on how to determine the primitive of $frac{x^{23}}{x^{32}+1} dx$, please?
Sorry for not using latex but I'm writing on the phone and I can't see the editor. I tried using Cebisev's subtitution and I get $t=x^{17/2}$ and I don't know what to do after. Can somebody help me please? And sorry for the bad writing.
calculus integration
edited Jan 13 at 22:39
projectilemotion
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
$endgroup$
1
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49
add a comment |
$begingroup$
Can somebody give me some tips on how to determine the primitive of $frac{x^{23}}{x^{32}+1} dx$, please?
Sorry for not using latex but I'm writing on the phone and I can't see the editor. I tried using Cebisev's subtitution and I get $t=x^{17/2}$ and I don't know what to do after. Can somebody help me please? And sorry for the bad writing.
calculus integration
edited Jan 13 at 22:39
projectilemotion
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
$endgroup$
Can somebody give me some tips on how to determine the primitive of $frac{x^{23}}{x^{32}+1} dx$, please?
Sorry for not using latex but I'm writing on the phone and I can't see the editor. I tried using Cebisev's subtitution and I get $t=x^{17/2}$ and I don't know what to do after. Can somebody help me please? And sorry for the bad writing.
calculus integration
calculus integration
edited Jan 13 at 22:39
projectilemotion
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
edited Jan 13 at 22:39
projectilemotion
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
edited Jan 13 at 22:39
projectilemotion
11.4k62141
edited Jan 13 at 22:39
projectilemotion
11.4k62141
edited Jan 13 at 22:39
projectilemotion
11.4k62141
11.4k62141
asked Jan 13 at 22:26
GaboruGaboru
877
asked Jan 13 at 22:26
GaboruGaboru
877
asked Jan 13 at 22:26
GaboruGaboru
877
877
1
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49
add a comment |
1
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49
1
1
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49
add a comment |
0
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',
autoActivateHeartbeat: false,
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3072605%2fprimitive-with-cebisevs-subtitution%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3072605%2fprimitive-with-cebisevs-subtitution%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
1
$begingroup$
I suggest substituting $t=x^8$ instead, then use Integrate rational function $frac{x^2}{1+x^4}$.
$endgroup$
– projectilemotion
Jan 13 at 22:49