Дискрименант и корни уравнения)
-x√7-2√7= -√7(x+2)
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(lg8-lg24):(lg3+lg27)=lg(8/24):lg(3*27)=lg(1/3):lg(81)=lg(81)(1/3)=-1/4
(log(3)2+log(3)(1/64)):(log(3)28-log(3)7)=log(3)(2/64):log(3)(28/7)=
=log(3)(1/32):log(3)4=log(4)(1/32)=-5/2=-2,5
Нужно выделить целую часть
![\int { \frac{x^3+1}{x-1} } \, dx = \int { \frac{x^3-1+2}{x-1} } \, dx = \int { \frac{(x-1)(x^2+x+1)+2}{x-1} } \, dx =](https://tex.z-dn.net/?f=+%5Cint+%7B+%5Cfrac%7Bx%5E3%2B1%7D%7Bx-1%7D+%7D+%5C%2C+dx+%3D+%5Cint+%7B+%5Cfrac%7Bx%5E3-1%2B2%7D%7Bx-1%7D+%7D+%5C%2C+dx+%3D+%5Cint+%7B+%5Cfrac%7B%28x-1%29%28x%5E2%2Bx%2B1%29%2B2%7D%7Bx-1%7D+%7D+%5C%2C+dx+%3D)
![= \int {(x^2+x+1 +\frac{2}{x-1}) } \, dx = \frac{x^3}{3}+ \frac{x^2}{2}+x+2ln|x-1|+C](https://tex.z-dn.net/?f=%3D+%5Cint+%7B%28x%5E2%2Bx%2B1+%2B%5Cfrac%7B2%7D%7Bx-1%7D%29+%7D+%5C%2C+dx+%3D+%5Cfrac%7Bx%5E3%7D%7B3%7D%2B+%5Cfrac%7Bx%5E2%7D%7B2%7D%2Bx%2B2ln%7Cx-1%7C%2BC++)