A) \[\frac{1}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}}+x+c\]
B) \[\frac{1}{3}{{x}^{3}}-\frac{1}{2}{{x}^{2}}+x+c\]
C) \[\frac{1}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}}-x+c\]
D) None of these
Correct Answer: A
Solution :
\[\int_{{}}^{{}}{\frac{{{x}^{4}}+{{x}^{2}}+1}{{{x}^{2}}-x+1}\,dx}=\int_{{}}^{{}}{({{x}^{2}}+x+1)\,dx}=\frac{{{x}^{3}}}{3}+\frac{{{x}^{2}}}{2}+x+c.\]You need to login to perform this action.
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