Calculus

Also gives us a dot product. There are many ways to construct the dot product by definition, as long as we have a positive definite symmetric bilinear form (according to Sylvesters criterion, all the main sub-determinants of the matrix representation are positive) we get a dot product. The real ...

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 ...