Hi Candidate,
For integration of such Questions, the best way is to divide the individual components of the Numerator with the Denominator.
Here, in the Question- x+1÷ x^n+1, we divide individual components which gives- (x^-n) + (1^n-1), and now will Integrate it which gives the Result= { [x^(-n+1)]÷ n+1} + x+ Constant.
Hope that this answer helps you.
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