\left| \begin{array} { l l l l } { 0 } & { a } & { b } & { 0 } \\ { u } & { 0 } & { 0 } & { b } \\ { 0 } & { c } & { d } & { 0 } \\ { c } & { 0 } & { 0 } & { d } \end{array} \right|
Evaluate
-\left(ad-bc\right)\left(du-bc\right)
Integrate w.r.t. a
\frac{a\left(2bc-ad\right)\left(du-bc\right)}{2}+С
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