\left| \begin{array} { l l l } { x } & { x ^ { 2 } } & { 1 } \\ { a } & { a ^ { 2 } } & { 1 } \\ { b } & { b ^ { 2 } } & { 1 } \end{array} \right|
Evaluate
\left(b-a\right)\left(x-a\right)\left(x-b\right)
Integrate w.r.t. x
\frac{\left(ax\right)^{2}}{2}-\frac{\left(bx\right)^{2}}{2}+axb^{2}+\frac{bx^{3}}{3}-bxa^{2}-\frac{ax^{3}}{3}+С
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