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jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0I don't think you can use usub here. cuz then it'd be f(u) = u*sinu..

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0and i haven't learned trig sub or integration by parts yet.

Argos
 one year ago
Best ResponseYou've already chosen the best response.0jenny you are a liar i think

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0_ i haven't. but i can do integration by parts. but my teacher never taught it.

Argos
 one year ago
Best ResponseYou've already chosen the best response.0becos that problem required fresnal integral

wio
 one year ago
Best ResponseYou've already chosen the best response.1Use \(u = x^2\). Then \(x = \sqrt{u}\)

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x) = x^2\sin(x^2) \]

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0if u = x^2 then du = 2xdx

Argos
 one year ago
Best ResponseYou've already chosen the best response.0well what method are you allowed to use if you can't use trig or parts

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0that's what i don't understand. usub doesn't really work...

Argos
 one year ago
Best ResponseYou've already chosen the best response.0so ur on usub section of the book?

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0no it's a review packet. i learned area, usub, trapezoid rule, and simpson's rule

igotzbeard
 one year ago
Best ResponseYou've already chosen the best response.0thats the way it is

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0no it's \[f(x) = x^2\sin(x^2)\]

wio
 one year ago
Best ResponseYou've already chosen the best response.1This isn't a candidate for u sub.

igotzbeard
 one year ago
Best ResponseYou've already chosen the best response.0u = x^2 du = 2x dx cant use u du sub

igotzbeard
 one year ago
Best ResponseYou've already chosen the best response.0no place to apply a substitution

wio
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{1}{2}\int \sqrt{u}\sin(u)du \]Isn't helpful.

k.rajabhishek
 one year ago
Best ResponseYou've already chosen the best response.0dw:1357267172296:dw

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0_ it was in the textbook in the chapter 5. we don't do trig sub/parts until chapter 8...

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2whats the name of the textbook

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0although i know how to do parts but my teacher never taught it.

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2which chapter section?

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0chapter 5 review #49

Argos
 one year ago
Best ResponseYou've already chosen the best response.0integral x^2 sin(x^2) dx = 1/4 (sqrt(2 pi) C(sqrt(2/pi) x)2 x cos(x^2))+constant C(x) is the fresnal C integral Medal pls

Argos
 one year ago
Best ResponseYou've already chosen the best response.0fresnal function is introduced in section 5.3

igotzbeard
 one year ago
Best ResponseYou've already chosen the best response.0lol wolframalpha? xD

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0haha same 5.3 is fundemental theorum

Argos
 one year ago
Best ResponseYou've already chosen the best response.0go to 5.3 examlpe number 3

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0we don't use stewart. we use larson. my teacher just photocopied this from the stewart textbook

Argos
 one year ago
Best ResponseYou've already chosen the best response.0but u gonna have to look up fresnal function elsewhere then

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0she owns like ten stewart textbooks. _ i'll just use parts then...

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2I guess one way to approach it is: \[F(t) = \int\limits_{1}^{x} t ^{2} \sin(t ^{2})\] This way the integral evaluated at x = 1 results in 0, and its derivative is just the original function

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2wait let me rewrite that

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2\[F(x) = \int\limits\limits_{1}^{x} t ^{2} \sin(t ^{2}) dt\]

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2That way when it is evaluated at F(1), you still get 0. And the derivative is the original function.

wio
 one year ago
Best ResponseYou've already chosen the best response.1If you used Simpson's rule or Midpoint rule on that, you'd get a nasty summation but it is within the rules.

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0oh wow. thanks @LogicalApple that's the answer in the book ___

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2Well it makes sense, right? We don't actually have to take an integration. We know from the fundamental theorem of calculus (either part 1 or 2, i forget) that the derivative of F(x) here is just the inside of the integral evaluated at x. And for the limits of integration, we know that if we integrate from a to a we always get 0. So let a = 1, that way F(1) is an integral evaluated from 1 to 1.

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0yes but i never thought of it that way... *sigh*

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2Stewart doesn't mess around.. I'm in chapter 5 on the 7th edition.

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0oh same here i think. my teacher uses both stewart and larson. we teach from larson.

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2I will have to check that one out. Anyway good luck with your studies!

wio
 one year ago
Best ResponseYou've already chosen the best response.1I think it's sort of an unfair question. Should have specified a bit more the rigor.

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0same. my teacher likes stewart because they have "more pictures" and "good problems". which means that she puts them on quizzes and tests. :[

jennychan12
 one year ago
Best ResponseYou've already chosen the best response.0i guess it just makes u think about the concept more?

wio
 one year ago
Best ResponseYou've already chosen the best response.1If they said something like "in terms of an indefinite integral" then it would have been fair.

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.2Yeah sometimes Stewart's questions are very very chapterspecific That's why I asked what chapter the problem was in to get an idea of the context of the question.
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