Ответы на вопрос:
1) int (2x^(-1/2) + 5x^(3/2) - 4x^(1/3)) dx = = 2x^(1/2)/(1/2) + 5x^(5/2)/(5/2) - 4x^(4/3)/(4/3) + c = 4√x + 2x^2*√x - 3x* ∛x + c2) int (x^2 - 3)/(2(1+x^2)) dx = 1/2*int x^2/(1+x^2) dx - 3/2*int 1/(1+x^2) dx == 1/2*int (1+x^2-1)/(1+x^2) dx - 3/2*arctg x = 1/2*int (1 - 1/(1+x^2)) dx - 3/2*arctg x == 1/2*(x - arctg x) - 3/2*arctg x + c = x/2 - 2arctg x + c
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