Question

найти предел
$\int\limits {\frac{2-x^4}{1+x^2} } \, dx$

Answer 1

$\int \frac{2-x^4}{1+x^2}=-\int x^2dx+\int \frac{dx}{x^2+1}+\int dx=arctgx-\frac{x^3}{3}+x+C$