MTH102 TMA4 Questions and Solutions : Determine \[\int\frac{x^{2}+1}{(x+2)^{3}}\]

Determine \[\int\frac{x^{2}+1}{(x+2)^{3}}\]
a) \[ln (x+2)+\frac{4}{x+2}-\frac{5}{2(x+3)^{2}}+c\]
b) \[ln (x+2)-\frac{4}{x+2}-\frac{5}{2(x+3)^{2}}+c\]
c) \[-ln (x+2)-\frac{4}{x+2}-\frac{5}{2(x+3)^{2}}+c\]
d) \[ln (x-2)+\frac{4}{x-2}-\frac{5}{2(x+3)^{2}}+c\]

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