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

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

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To solve the integral \( \int_{-1}^{1} x^{17} \cos^4 x \, dx = 0 \), we can follow these steps: ### Step 1: Define the function Let \( f(x) = x^{17} \cos^4 x \). ### Step 2: Check the properties of the function Notice that \( f(x) \) is an odd function. An odd function satisfies the property: \[ ...
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