Fun with Matrices!

Algebra Level 2

If the matrix

D=\(\begin{bmatrix} { e }^{ x } & sinx \\ cosx\quad \quad & ln(1+x) \end{bmatrix}\quad \)

and,

Det(D)=\(\quad A+B{ x }+C{ x }^{ 2 }+.....\)

Find the value of A +B

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