\left| \begin{array} { c c c c } { x } & { - 1 } & { 0 } & { 0 } \\ { 0 } & { x } & { - 1 } & { 0 } \\ { 0 } & { 0 } & { x } & { - 1 } \\ { a _ { y } } & { a _ { 3 } } & { a _ { 2 } } & { a _ { 1 } + x } \end{array} \right|
Evaluate
\left(x+a_{1}\right)x^{3}+a_{2}x^{2}+a_{3}x+a_{y}
Integrate w.r.t. x
\frac{a_{1}x^{4}}{4}+\frac{a_{2}x^{3}}{3}+\frac{x^{5}}{5}+\frac{a_{3}x^{2}}{2}+a_{y}x+С
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