Question

интеграл от1 до0 x / (4+x^2)

Answer 1

$int_0^1 frac{xdx}{4+x^2} = frac{1}{2} int_0^1 frac{d(4+x^2)}{4+x^2} = frac{1}{2} ln(4+x^2)|_0^1=frac{1}{2} ln5-frac{1}{2} ln4=frac{1}{2} ln1,25.$