A community for students.
Here's the question you clicked on:
 0 viewing
SUROJ
 3 years ago
Anybody know how to find the integral of following figure?
SUROJ
 3 years ago
Anybody know how to find the integral of following figure?

This Question is Closed

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0I mean area of the triangle using polar coordinates

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0using a double integral?

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

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

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.1x=rcostheta y=rsintheta

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.1area = integral (r^2)/2 d theta

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.0the 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 \[A=\int\limits_{a}^{b}\frac{ 1 }{ 2 }r^2 d \theta \].

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0but we need to find area of triangle

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0@Algebraic! isn't that integral from 0 to pi/4

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

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.1because the area of a circular sector is r^2 /2 times theta

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0Finally I got it thnks guys

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1352076292545:dw the small triangle is approximated by a sector of a circle.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.