Mathematics

Mathematics

Problem

For 0≤x≤2π0\le x\le2\pi, let F(x)=∫0xsin⁡t dtF(x)=\displaystyle\int_{0}^{x}\sin t\,dt. a. (i) Find the interval(s) where FF increases and where it decreases. b. (ii) List the xx–values in (0,2π)(0,2\pi) at which FF attains a local maximum or a local minimum.

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