Use the table of antiderivatives to determine if the following statement is true. $\int \frac{x^{2}}{x^{2}+5} d x=x-\sqrt{5} \arctan \frac{x}{\sqrt{5}}+C$

Name: Use the table of antiderivatives to determine if the following statement is true. $\int \frac{x^{2}}{x^{2}+5} d x=x-\sqrt{5} \arctan \frac{x}{\sqrt{5}}+C$
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The antiderivative of $\frac{x^{2}}{x^{2}+5}$ can be found using partial fraction decomposition or substitution, leading to the result $x - \sqrt{5} \arctan \frac{x}{\sqrt{5}} + C$.

Use the Table of Antiderivatives to Determine If the Following ∫x2x2+5dx=x−5arctan⁡x5+C\int \frac{x^{2}}{x^{2}+5} d x=x-\sqrt{5} \arctan \frac{x}{\sqrt{5}}+C∫x2+5x2​dx=x−5​arctan5​x​+C

Use the Table of Antiderivatives to Determine If the Following $\int \frac{x^{2}}{x^{2}+5} d x=x-\sqrt{5} \arctan \frac{x}{\sqrt{5}}+C$