My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
November 27th, 2017, 01:07 PM   #1
Joined: Nov 2017
From: San Diego

Posts: 1
Thanks: 0

How to solve this integral without Jacobian method?

How to solve this integral without Jacobian method?
Attached Images
File Type: jpg 0A410393-9EDB-41E7-931F-4AAE0C3A9ACC.jpg (19.8 KB, 3 views)
Salar14666 is offline  
November 27th, 2017, 02:42 PM   #2
Senior Member
Joined: Feb 2016
From: Australia

Posts: 1,849
Thanks: 661

Math Focus: Yet to find out.
It might be useful to typeset your equations to improve readability. Could you confirm if the following translation is correct (I can't tell if that's an $n$ or an $x$ in the numerator of the exponential..)?

$$\int_{-2}^{-1} \int_{0}^{y+2} \exp \left({\dfrac{x + y}{x - y}}\right) dx \ dy$$
Joppy is online now  
November 28th, 2017, 04:48 AM   #3
Math Team
Joined: Jan 2015
From: Alabama

Posts: 3,264
Thanks: 902

Looking at the integrand, I would be inclined to let u= x- y. Then x= u+ y so that dx= du and x+ y= u+ 2y. When x= 0, u= y and when x= y+ 2, u= 2. The integral becomes
$\displaystyle \int_{-2}^{-1}\int_y^2 \frac{u+ 2y}{u}dudy= \int_{-2}^{-1}\int_y^2 1+ 2\frac{y}{u} dudy$.
Country Boy is offline  

  My Math Forum > College Math Forum > Calculus

integral, jacobian, method, mrthod, solve

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
double integral with Jacobian determinant zollen Calculus 1 July 4th, 2017 09:56 PM
Best Method to Solve these Equations Indigo28 Algebra 4 January 13th, 2017 02:20 PM
Which method do I use to solve this question? KaiL Calculus 1 September 26th, 2015 02:13 PM
Solve by the simplest method chapsticks Calculus 2 February 21st, 2012 08:58 PM
Some method to solve any integral no matter how complex mikfig Calculus 2 January 8th, 2010 03:43 PM

Copyright © 2019 My Math Forum. All rights reserved.