Nested cosines?

Calculus Level 2

1 1 x cos ( cos ( cos ( ( x ) ) ) ) d x = ? \int^{1}_{-1} x \cdot \cos(\cos(\cos(\cdots(x)))) \:dx = \:?

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The answer is 0.

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2 solutions

Hana Wehbi
Apr 7, 2019

The ( x cos x (x\cos x ) function is an odd function; therefore, the value of the integral is equal to 0

The integrand is an odd function. Therefore the value of the integral is zero.

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