Evaluate the Integral

  • Thread starter Sczisnad
  • Start date
  • #1
9
0

Homework Statement


integral ln(2x+1)dx


Homework Equations


N/A


The Attempt at a Solution


I tried integration by parts,

Let u = ln(2x+1), dv = dx, du = 2/(2x+1)dx, v = x

ln(2x+1)dx = ln(2x+1)*x-(integral)x*(2/(2x+1))dx
 

Answers and Replies

  • #2
354
0
Try u-substitution with [itex]u=2x+1[/itex].
 
  • #3
35,034
6,777

Homework Statement


integral ln(2x+1)dx


Homework Equations


N/A


The Attempt at a Solution


I tried integration by parts,

Let u = ln(2x+1), dv = dx, du = 2/(2x+1)dx, v = x

ln(2x+1)dx = ln(2x+1)*x-(integral)x*(2/(2x+1))dx
So far, so good. The last integral can be turned into a simpler one by dividing 2x by 2x + 1, using polynomial long division. If you don't know that technique, it works out to 1 + -1/(2x + 1) in this problem.
 
  • #4
12
0
Try u subsitution (the obvious one...)
 

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