$\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + \pi } \right)}^3} + {{\cos }^2}\left( {x + 3\pi } \right)} \right]} dx$ is equal to

Question

${{{\pi ^4}} \over {32}}$

${{{\pi ^4}} \over {32}} + {\pi \over 2}$

${\pi \over 2}$

${\pi \over 4} - 1$

Solution

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