indefinite-integration

Question: If $f'(x)=\frac{1}{x}+x$ and $f(1)=\frac{5}{2}$, then $f(x)=$

1) $\log x+\frac{{{x}^{2}}}{2}+2$

2) $\log x+\frac{{{x}^{2}}}{2}+1$

3) $\log x-\frac{{{x}^{2}}}{2}+2$

4) $\log x-\frac{{{x}^{2}}}{2}+1$

Solution:

Explanation: No Explanation

Fundamental integration

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