August 6th, 2016, 05:52 AM  #1 
Senior Member Joined: Jul 2011 Posts: 399 Thanks: 15  Indefinite Integration
$\displaystyle \int\frac{\sin (x+\alpha)}{\cos^2 x}\sqrt{\frac{\csc x+\sec x}{\csc x\sec x}}dx$

August 6th, 2016, 06:32 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,274 Thanks: 2435 Math Focus: Mainly analysis and algebra 
I would start by expanding the $\sin(x+\alpha)$ using $\sin(A+B)=\sin A\cos B + \cos A \sin B$. Then, the Weierstrass substitution $t=\tan {x {over 2}$ will remove the trigonometric terms. Whether or not the square root also disappears I don't know.


Tags 
indefinite, integration 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Indefinite Integration  panky  Calculus  2  November 14th, 2013 10:08 AM 
Indefinite Integration  panky  Calculus  4  September 23rd, 2013 07:42 AM 
Indefinite Integration  panky  Calculus  9  October 16th, 2012 02:14 AM 
Indefinite Integration  desum  Calculus  1  May 3rd, 2012 12:39 AM 
Indefinite Integration  bejoty1  Calculus  2  January 27th, 2010 06:34 AM 