Question

пж очень нужно срочно!!!!!! срочно ​

Answer 1

1. y' = (arcsin (x/2) + 2x^3 + ln x)' = 1/(2√(1-(x/2)^2)) + 6x^2 + 1/x = 1/√(4-x^2) + 6x^2 + 1/x

2. ∫ x^2 dx/(x^2 + 2) = ∫ (x^2+2-2) dx/(x^2 + 2) = ∫ (1 - 2/(x^2+2)) dx = ∫dx - ∫ 2dx /(x^2+2) = x - ∫ 2dx /(x^2+(√2)^2) = x - √2arctg (√2x/2) + C