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The value of $\int_{- π / 2}^{π / 2} \cos t \sin (2 t - π / 4) d t$ is

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Correct option is D

∫−π/2π/2 cos⁡tsin⁡2t−π4dt=12∫−π/2π/2 cos⁡t(sin⁡2t−cos⁡2t)dt=−12∫−π/2π/2 cos⁡tcos⁡2tdt=−22∫0π/2 (cos⁡3t+cos⁡t)dt=−12−13+1=−12⋅23=−23

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The value of ∫−π/2π/2 cos⁡tsin⁡(2t−π/4)dt is

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The value of $\int_{- π / 2}^{π / 2} \cos t \sin (2 t - π / 4) d t$ is