Evluate `int` `3x^2` `dx`

Answer

A

Explanation

If `Q = PAP^(T) `
then `P^(T)Q=AP^(T) " "[because PP^(T)=I]`
` rArrP^(T) Q^(2005) P = AP^(T)Q^(2004)P`
`= A^(2) P^(T) Q ^(2003) P = A^(3) P^(T) Q^(2002) P `
`= A^(2004)P^(T)(QP)`
`= A^(2004)P^(T)(PA)" "[Q= PAP^(T) rArr QP= PA]`
`=A^(2005)`
`therefore A^(2005) = [[1,2005],[0,1]]`