This is a simple problem. Use long division and integrate the simplified form. See the solution below :
, We get
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLy_ksJnbvx6IG5iVO3a9X2K30QifstXCYZsi90E-cplkeYj1jWQDNTAzDHRHlV1WycUNa8bU_4NTG1dZd9nZS-sv_b1hFvUnd42hVYCNgMlGcwEzwVHilOlfPCZtc2KR5p_wOjsEueg/s1600/4.1.2_num.png)
Divisor(D) = 2x - 1 ;Remainder(R) = 1 and Quotient(Q) = 3x^2 +2x
Now I becomes :
On the above step what I did is replaced the polynomial by Q+R/D. Now you can Integrate using direct formulas :
Note : I use log instead of ln( log to base e).
Thank you
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