Algebra

106 -Take any point M(x 0 ;y 0 ) not on (d) If ax 0 + by 0 +c < 0 then the half-plane (excluding the edge (d) containing point M is the solution domain of the inequality ax +by +c < 0 . If ax + by +c > 0 then the half-plane (excluding the edge (d)) not containing point M is the solution ...

Method 3 : Rewrite the equation: math equivalent to: ( x  m ) 2  m 2  m  2. Requirements of the problem   m 2  m  2  0   m   2    m  1 m 2  m  2       m   1  m 2  m  2   m  1    m   2 ...

3. Topics on antiderivatives and integrals Example 1 : (University – A2013) Integral calculation: 2 x 2  1 x I   2 1 ln xdx Method 1: 2 x 2  1 2 2 1 I   x 2 ln xdx   ln xdx   (  x 2 )ln xdx 1 1 1 We consider: 2 1 2 1 1 2 2 1 1 1 1 I 2   (  x 2 ) ln xdx ...