Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
SUROJ
Group Title
Anybody know how to find the integral of following figure?
 one year ago
 one year ago
SUROJ Group Title
Anybody know how to find the integral of following figure?
 one year ago
 one year ago

This Question is Closed

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
dw:1352073105071:dw
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
I mean area of the triangle using polar coordinates
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.0
using a double integral?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
rcostheta + rsintheta =1 r=1/(costheta +sintheta) \[\int\limits_{0}^{\frac{ \pi }{ 2 }} \frac{ r^2 }{2 } d \theta = \frac{ 1 }{ 2 }\int\limits_{0}^{\frac{ \pi }{ 2 }} \frac{ 1 }{(\cos \theta +\sin \theta )^2} d \theta \]
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
@TuringTest yes @Algebraic! how did u got that? can you explain some more?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
x=rcostheta y=rsintheta
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
area = integral (r^2)/2 d theta
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
why is that?
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
the differential of of the area of a sector is given by \[dA=\frac{ 1 }{ 2 }r^2 d \theta \] so the area of the region is a definite integral \[A=\int\limits_{a}^{b}\frac{ 1 }{ 2 }r^2 d \theta \].
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
dw:1352074998837:dw
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
but we need to find area of triangle
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
@Algebraic! isn't that integral from 0 to pi/4
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
are you in calc. 2?
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
Oh yea it's pi/2 thnks @Algebraic! ......but why dA is r^2/s d(theta)
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
because the area of a circular sector is r^2 /2 times theta
 one year ago

SUROJ Group TitleBest ResponseYou've already chosen the best response.0
Finally I got it thnks guys
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
dw:1352076292545:dw the small triangle is approximated by a sector of a circle.
 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.