Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Find an antiderivative F of f(x) = x^2*sin(x^2) such that F(1) = 0.
 one year ago
 one year ago
Find an antiderivative F of f(x) = x^2*sin(x^2) such that F(1) = 0.
 one year ago
 one year ago

This Question is Closed

jennychan12Best ResponseYou've already chosen the best response.0
I don't think you can use usub here. cuz then it'd be f(u) = u*sinu..
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
and i haven't learned trig sub or integration by parts yet.
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
_ i haven't. but i can do integration by parts. but my teacher never taught it.
 one year ago

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

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

jennychan12Best ResponseYou've already chosen the best response.0
\[f(x) = x^2\sin(x^2) \]
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
if u = x^2 then du = 2xdx
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
that's what i don't understand. usub doesn't really work...
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
no it's a review packet. i learned area, usub, trapezoid rule, and simpson's rule
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
no it's \[f(x) = x^2\sin(x^2)\]
 one year ago

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

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

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

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

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

jennychan12Best 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...
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
although i know how to do parts but my teacher never taught it.
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
chapter 5 review #49
 one year ago

ArgosBest ResponseYou've already chosen the best response.0
integral 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
 one year ago

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

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

jennychan12Best ResponseYou've already chosen the best response.0
haha same 5.3 is fundemental theorum
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
we don't use stewart. we use larson. my teacher just photocopied this from the stewart textbook
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
she owns like ten stewart textbooks. _ i'll just use parts then...
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.2
I 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
 one year ago

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

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

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

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

jennychan12Best ResponseYou've already chosen the best response.0
oh wow. thanks @LogicalApple that's the answer in the book ___
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.2
Well 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.
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
yes but i never thought of it that way... *sigh*
 one year ago

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

jennychan12Best ResponseYou've already chosen the best response.0
oh same here i think. my teacher uses both stewart and larson. we teach from larson.
 one year ago

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

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

jennychan12Best ResponseYou've already chosen the best response.0
same. my teacher likes stewart because they have "more pictures" and "good problems". which means that she puts them on quizzes and tests. :[
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
i guess it just makes u think about the concept more?
 one year ago

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

LogicalAppleBest ResponseYou've already chosen the best response.2
Yeah 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.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.