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Let $I_{n} = \int_{0}^{π / 2} x^{n} \cos x d x$ then $I_{8} + 56 I_{6}$ is equal to

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Correct option is B

In=∫0π/2 xncos⁡ xdx=xnsin⁡ x0π/2−n∫0π/2 xn−1sin⁡ xdx=π2n−n−xn−1cos⁡ x0π/2+(n−1)∫0π/2 xn−2cos⁡ xdx=π2n−n(n−1)In−2I8+8.7I6=π28

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Let In=∫0π/2 xncos⁡ x dx then I8+56I6 is equal to

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Let $I_{n} = \int_{0}^{π / 2} x^{n} \cos x d x$ then $I_{8} + 56 I_{6}$ is equal to