Question

integration 2x+1/x(x+1) dx​

Answer 1

Step-by-step explanation:

• See the above attachment.

Answer 2

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This integral can be done with substitution or seperation as well as so many other methods.

But here is one basic solution

∫ (2x+3)/(x+1) dx

=∫ (2x+2+1)/(x+1) dx

=∫ 2(x+1)/(x+1)dx +∫ 1/(x+1)dx

=∫ 2dx+∫ 1/(x+1)dx

=2x+ln(x+1) +c.