1.
a) y'= - 4x +3ˣln3+3/4x^(-1/4)
b) y'=6(3x⁴+2sinx)⁵(12x³+2cosx)
2.
a) ∫3ˣ*4ˣdx=∫12ˣdx=12ˣ/ln12+C
b) = ∫(4x²/2x+x^(2/3)/2x)dx=∫2xdx+0.5∫x^(-1/3)dx =
=2*x²/2+1/2 * x^2/3*3/2=x²+3/4x^2/3=x²+3/4x^(2/3)+C
3.
∫(x³-7)²dx =∫x⁶dx -∫ 14x³dx +∫49dx=x⁷/7-14/4x⁴+49x+C
F(3)≈312-283+147=176
F(1) ≈1/7-14/4+49=0-4+49=45
определенный интеграл примерно равен 176-45= 131