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The value of the integral given below is ∫₀^π x² cos x dx

1. −2π
2. π
3. −π
4. 2π

Correct answer: −2π

Solution

The integral evaluates to -2π because the integration by parts method applied to the function x² cos x results in a negative value due to the oscillatory nature of the cosine function and the polynomial growth of x².

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