SOLUTION: Evaluate the integral using integration by parts with explanations.
ln (2x+1) dx
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Question 407767: Evaluate the integral using integration by parts with explanations.
ln (2x+1) dx
Found 2 solutions by Tatiana_Stebko, richard1234:
Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
Use formula =
Let
then
=====
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
This is an alternative approach which can still use integration by parts, but is slightly easier.
Let , , . If we replace 2x+1, we obtain
. We can integrate via parts, or by a formula which you can (and should) memorize.
Letting , , we obtain and . Applying the parts formula,
. Note that we have to multiply by 1/2, since we want . Back-substitute to obtain
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