Mathematics

If $$\Delta (x)=\left| \begin{matrix} 1+x+2{ x }^{ 2 } & x+3 & 1 \\ x+2{ x }^{ 2 } & x & 3 \\ 3x+6{ x }^{ 2 } & 3x+11 & 9 \end{matrix} \right| $$ then $$\displaystyle \int^{1}_{0}\Delta (x)dx$$ is


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$$\dfrac {176}{5}$$


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Single Correct Medium Published on 17th 09, 2020
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