$\int_{- 1}^{1} x^{17} c o s^{4} x d x =$ [MP PET 1990]

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Solution

The correct option is C \N
$L e t f (x) = x^{17} c o s^{4} x$
$f (- x) = (- x)^{17} {c o s (- x)}^{4} = - f (x)$
$T h e r e f o r e, \int_{- 1}^{1} x^{17} c o s^{4} x d x = 0$

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