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$\int_{0}^{π} \sqrt{\frac{\cos 2 x + 1}{2}} dx$ is equal to

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∫0π cos⁡2x+12dx=∫0π cos2xdx=∫0π |cos⁡x|dx=∫0π/2 cos⁡xdx−∫π/2π cos⁡xdx=2

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∫0π cos⁡2x+12dx is equal to

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$\int_{0}^{π} \sqrt{\frac{\cos 2 x + 1}{2}} dx$ is equal to