April 5th, 2014, 04:43 PM  #1 
Newbie Joined: Apr 2014 From: NY Posts: 3 Thanks: 0  I am stuck on an integral problem.
I apologize for the sloppy writing. I don't understand where the first two in the final row of my solution comes from. I know how to solve the rest. I just need to know where the "2" comes from. Thank you. P.S The final row should have the integral sign in the front. 
April 5th, 2014, 04:52 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 464 Math Focus: Calculus/ODEs 
Through your substitution, you have obtained: $\displaystyle \int\frac{2u}{u+1}\,du$ Now, suppose we add zero to the numerator of the integrand as follows: $\displaystyle \int\frac{2(u+11)}{u+1}\,du$ And then write it as: $\displaystyle \int\frac{2(u+1)2}{u+1}\,du=\int 2\frac{2}{u+1}\,du$ 

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