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 June 19th, 2014, 02:41 PM #1 Newbie   Joined: Feb 2012 Posts: 6 Thanks: 0 Changing the intergrator Hi there, I am studying for an exam, but I'm having problems with an integral, which is: 1/2 * integral(0 to pi)(y sin y^2) dy = 1/4 * integral(0 to pi)(sin y^2) dy^2 I have had some material on Riemann-Stieltjes integrals, which I can apply here, but I should not be using that for this course, as it is a more introductory course. I am curious if there are simple rules to change the integrator. Thanks in advance. June 19th, 2014, 05:09 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,697 Thanks: 2681 Math Focus: Mainly analysis and algebra $\newcommand{\d}{\mathbb{d}{#1}}$ Write $x = y^2$ then $\d{x} = 2y \d{y}$, $y = 0 \implies x=0$ and $y= \pi \implies x=\pi^2$ And wee thus have$$2 \int \limits_{0}^{\pi}y \sin{y^2} \d{y} = \int \limits_{0}^{\pi^2} \sin{x} \d{x}$$ which has an odd upper limit, but otherwise all is well. Tags changing, intergrator Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post adamfoley Algebra 2 March 23rd, 2013 03:05 PM Doxxik Real Analysis 1 December 14th, 2012 06:40 PM Ter Algebra 1 April 19th, 2012 12:09 PM uterfor86 Applied Math 2 January 29th, 2012 12:01 AM poochie03 Algebra 1 September 10th, 2011 02:10 PM

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