Please how to integrate the following function? $$ \frac{x^4}{x^2+a^2} $$
2026-04-25 07:15:10.1777101310
Evaluating $\int\frac{x^4}{x^2+a^2}dx$
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Hint. One may start with $$ \frac{x^4}{x^2+a^2}=\frac{(x^4-a^4)+a^4}{x^2+a^2}=x^2-a^2+\frac{a^4}{x^2+a^2} $$ then one may use $$ \left(\frac{1}{a}\arctan \frac{x}{a} \right)'=\frac1{x^2+a^2}. $$