Mixing
$int_{100}^{200} frac{1}{ 8 + bsqrt{1-frac{(x-100)^2}{100^2} } + bsqrt{1-frac{(x-200)^2}{100^2} } } dx$
$begingroup$
$int_{100}^{200} frac{1}{ 8 + bsqrt{1-frac{(x-100)^2}{100^2} } + bsqrt{1-frac{(x-200)^2}{100^2} } } dx$
I tried this in Mathematica but got the same thing as solution. By considering "b" = 1, I got solution as something big with lot of imaginary terms. I am expecting that this integration could give me a function in terms of "b".
calculus integration
asked Jan 30 at 6:42
VishalVishal
11
$endgroup$
add a comment |
$begingroup$
$int_{100}^{200} frac{1}{ 8 + bsqrt{1-frac{(x-100)^2}{100^2} } + bsqrt{1-frac{(x-200)^2}{100^2} } } dx$
I tried this in Mathematica but got the same thing as solution. By considering "b" = 1, I got solution as something big with lot of imaginary terms. I am expecting that this integration could give me a function in terms of "b".
calculus integration
asked Jan 30 at 6:42
VishalVishal
11
$endgroup$
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29
add a comment |
$begingroup$
$int_{100}^{200} frac{1}{ 8 + bsqrt{1-frac{(x-100)^2}{100^2} } + bsqrt{1-frac{(x-200)^2}{100^2} } } dx$
I tried this in Mathematica but got the same thing as solution. By considering "b" = 1, I got solution as something big with lot of imaginary terms. I am expecting that this integration could give me a function in terms of "b".
calculus integration
asked Jan 30 at 6:42
VishalVishal
11
$endgroup$
$int_{100}^{200} frac{1}{ 8 + bsqrt{1-frac{(x-100)^2}{100^2} } + bsqrt{1-frac{(x-200)^2}{100^2} } } dx$
I tried this in Mathematica but got the same thing as solution. By considering "b" = 1, I got solution as something big with lot of imaginary terms. I am expecting that this integration could give me a function in terms of "b".
calculus integration
calculus integration
asked Jan 30 at 6:42
VishalVishal
11
asked Jan 30 at 6:42
VishalVishal
11
edited Jan 30 at 10:19
Vishal
asked Jan 30 at 6:42
VishalVishal
11
asked Jan 30 at 6:42
VishalVishal
11
asked Jan 30 at 6:42
VishalVishal
11
11
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29
add a comment |
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29
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%2f3093183%2fint-100200-frac1-8-b-sqrt1-fracx-10021002-b-sqrt1-f%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%2f3093183%2fint-100200-frac1-8-b-sqrt1-fracx-10021002-b-sqrt1-f%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
$begingroup$
Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck.
$endgroup$
– David G. Stork
Jan 30 at 6:57
$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56
$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29