22.

 

A.ln (x2+2x+3)+C

B.(1/(2x+2))ln(x2+2x+3)+C

C.–(x+1)/(x2+2x+3)2 +C

D.Ö 2arctan(x+1)+C

E.(1/Ö 2)arctan((x+1)/Ö 2)+C

 

 

Solution: The answer is E 

Since, 

 

Rewrite the given indefinite integral as follows to use the above formula.