If fx- begin vmatrix x- 2-4 x-6 - 2 x- 2-4 x-10 - 3 x- 2-2 x-16 Wx-2 - 2 x-2 - 3 x-1 - 1182 - 3lend vmatrix - Then the value of -33x2sin x-1-x6- fx d x is

The correct option is C 0f(x) is constant Hence = 0. ...

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Property 3

If fx= begin ...

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If $f (x) = ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 4 x + 6 & 2 x^{2} + 4 x + 10 & 3 x^{2} - 2 x + 16 x - 2 & 2 x + 2 & 3 x - 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣$ . Then the value of $\int_{- 3}^{3} \frac{x^{2} s i n x}{1 + x^{6}} . f (x) d x$ is

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\frac{π}{2}

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f (x) = ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 4 x + 6 & 2 x^{2} + 4 x + 10 & 3 x^{2} - 2 x + 16 x - 2 & 2 x + 2 & 3 x - 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣

f (x) = ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 4 x + 6 & 2 x^{2} + 4 x + 10 & 3 x^{2} - 2 x + 16 x - 2 & 2 x + 2 & 3 x - 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣

x

∣ ∣ ∣ ∣ \begin{matrix} x & 3 x + 2 & 2 x - 1 2 x - 1 & 4 x & 3 x + 1 7 x - 2 & 17 x + 6 & 12 x - 1 \end{matrix} ∣ ∣ ∣ ∣ = 0

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x - 2 {2 x}^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x - 12,

a^{2}

p (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 3 & 3 x & 3 x^{2} + 2 3 x & 3 x^{2} + 2 & 3 x^{3} + 6 x 3 x^{2} + 2 & 3 x^{3} + 6 x & 3 x^{4} + 12 x^{2} + 2 \end{matrix} ∣ ∣ ∣ ∣ ∣

q (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 2 & 2 & 2 2 + x & 3 + x & 4 + x (2 + x)^{2} & (3 + x)^{2} & (4 + x)^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

r (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} cos (x + π / 4) & sin (x + π / 4) & 1 cos (x + π / 2) & sin (x + π / 2) & \sqrt{2} cos (x + 3 π / 4) & sin (x + 3 π / 4) & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣

s (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 x & 2 x + 1 4 x & 2 x (2 x - 1) & 2 x (2 x + 1) 6 x (2 x - 1) & 4 x (2 x - 1) (x - 1) & 2 x (4 x^{2} - 1) \end{matrix} ∣ ∣ ∣ ∣ ∣

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