My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
September 3rd, 2017, 10:36 AM   #1
Senior Member
 
Joined: Nov 2013

Posts: 432
Thanks: 7

integration

integrate 1/(4sin^2x-cos2x)
mared is offline  
 
September 4th, 2017, 06:44 AM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 6,937
Thanks: 2265

Math Focus: Mainly analysis and algebra
$\cos (2x)$ or $\cos^2 (x)$?

What have you tried?
v8archie is offline  
September 5th, 2017, 10:27 AM   #3
Senior Member
 
Joined: Nov 2013

Posts: 432
Thanks: 7

we need cos2x
mared is offline  
September 5th, 2017, 10:47 AM   #4
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 6,937
Thanks: 2265

Math Focus: Mainly analysis and algebra
I would try $\cos{(2x)}=1-2\sin^2{(x)}$ and a Weierstrauß substitution, $t=\tan{(\frac{x}{2})}$.
v8archie is offline  
September 5th, 2017, 11:34 AM   #5
Global Moderator
 
Joined: Dec 2006

Posts: 17,914
Thanks: 1382

Hint: $\dfrac{1}{4\sin^2(x) - \cos(2x)} = {\small\dfrac12}\sec^2(x) \left(\dfrac{1}{\sqrt5\tan(x) - 1} - \dfrac{1}{\sqrt5\tan(x)+ 1}\right)$.
skipjack is online now  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
integration



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
recursive integration,integration done, how to get formula Lazar Calculus 1 December 28th, 2014 12:40 PM
Integration.. jiasyuen Calculus 2 December 12th, 2013 01:53 PM
Integration MDRCK Calculus 2 December 15th, 2010 08:49 AM
Integration help SH-Rock Calculus 3 December 11th, 2010 11:33 AM
Need some help with integration... jUST Mee Calculus 4 September 12th, 2010 04:02 AM





Copyright © 2017 My Math Forum. All rights reserved.