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Prove thatint-1^1x^(17)cos^4x dx=0...

Prove that`int_-1^1x^(17)cos^4x dx=0`

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To prove that \[ \int_{-1}^{1} x^{17} \cos^4 x \, dx = 0, \] we will analyze the integrand \( f(x) = x^{17} \cos^4 x \) and check its properties under the transformation \( x \to -x \). ...
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