The value of $\int_{0}^{π} \cos^{11} x d x$ , is

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$π$

$11 π$

$- 11 π$

answer is C.

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Detailed Solution

Let

$\begin{array}{l} I = \int_{0}^{π} \cos^{11} x d x \\ I = \int_{0}^{π} \{\cos^{11} x + \cos^{11} (π - x)\} d x \\ I = \int_{0}^{π} (\cos^{11} x - \cos^{11} x) d x \Rightarrow I = 0 \end{array}$

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