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Question Number 109123 by 1777 last updated on 21/Aug/20

$$provethat:$$$${\int }_{\frac{\pi }{4}}^{\frac{3\pi }{4}}sin\left(x\right)-cos\left(x\right)dx⩾{\int }_{\pi }^{\frac{3\pi }{2}}sin\left(x\right)+cos\left(x\right)dx$$

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