√3ctg(π/3-x)=-3
ctg(π/3-x)=-√3
tg(x+π/6)=-√3
x+π/6=-π/3
x=-π/3-π/6+πn,n∈z
x=-π/2+πn,n∈z
Y=ax²
2)-9=a*(-6)²=36a⇒a=-9/36=-1/4
y=-1/4x²
1)точка(6;-9)
3)(2;-1)
(2;1)
!!!!!!!!!!!!!!!!!!!!!!!!!!!
<span>(2y-1)^2 -4(y-2)(y+2)=-5y+18
4y²-4y+1-4y²+16=-5y+18
y-1=0
y=1
</span>
∫dx/√x^5 = ∫x^(-5/2) dx = -(2/3)*x^(-3/2) = -2/(3*x(3/2)) + C
∫dx/(1+9x)dx Сделаем замену u = 1+9x; du = 9dx; dx = (1/9) *du
∫dx/(1+9x)dx = ∫(1/9)* du/u = (1/9) * ln(u) = (1/9) * ln(1+9x) + C
∫e^(5x-7)dx Сделаем замену u = 5x-7; du = 5dx; dx = (1/5)du
∫e^(5x-7)dx = ∫(1/5)*e^u du = (1/5) * e^u = (1/5) e^(5x-7) + C