1.

\(\smallint \frac{{{x^2}}}{{{x^2} + 1}}dx\) is equal to –

A. \({x^2} + \log \left( {{x^2} + 1} \right) + c\)
B. \(\log \left( {{x^2} + 1} \right) - {x^2} + c\)
C. \(\frac{1}{2}{x^2} - \frac{1}{2}\log \left( {{x^2} + 1} \right) + c\)
D. \(\frac{1}{2}{x^2} + \frac{1}{2}\log \left( {{x^2} + 1} \right) + c\)
Answer» D. \(\frac{1}{2}{x^2} + \frac{1}{2}\log \left( {{x^2} + 1} \right) + c\)


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