If \[f'(x)=\frac{1}{x}+x\] and \[f(1)=\frac{5}{2}\], then \[f(x)=\]

1.	If \[f'(x)=\frac{1}{x}+x\] and \[f(1)=\frac{5}{2}\], then \[f(x)=\]
A.	\[\log x+\frac{{{x}^{2}}}{2}+2\]
B.	\[\log x+\frac{{{x}^{2}}}{2}+1\]
C.	\[\log x-\frac{{{x}^{2}}}{2}+2\]
D.	\[\log x-\frac{{{x}^{2}}}{2}+1\]
Answer» B. \[\log x+\frac{{{x}^{2}}}{2}+1\]

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If \[f'(x)=\frac{1}{x}+x\] and \[f(1)=\frac{5}{2}\], then \[f(x)=\]

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