Mathematics

Mathematics

Problem

∫xcos⁡2x dx=\int x\cos^2 x\,dx = (a) x44−14xsin⁡2x−18cos⁡2x+c\frac{x^4}{4} - \frac{1}{4}x\sin 2x - \frac{1}{8}\cos 2x + c (b) x24+14xsin⁡2x+18cos⁡2x+c\frac{x^2}{4} + \frac{1}{4}x\sin 2x + \frac{1}{8}\cos 2x + c (c) x44−14xsin⁡2x+18cos⁡2x+c\frac{x^4}{4} - \frac{1}{4}x\sin 2x + \frac{1}{8}\cos 2x + c (d) x44+14xsin⁡2x−18cos⁡2x+c\frac{x^4}{4} + \frac{1}{4}x\sin 2x - \frac{1}{8}\cos 2x + c (a) x44−14xsin⁡2x−18cos⁡2x+c\frac{x^4}{4} - \frac{1}{4}x\sin 2x - \frac{1}{8}\cos 2x + c (b) x24+14xsin⁡2x+18cos⁡2x+c\frac{x^2}{4} + \frac{1}{4}x\sin 2x + \frac{1}{8}\cos 2x + c (c) x44−14xsin⁡2x+18cos⁡2x+c\frac{x^4}{4} - \frac{1}{4}x\sin 2x + \frac{1}{8}\cos 2x + c (d) x44+14xsin⁡2x−18cos⁡2x+c\frac{x^4}{4} + \frac{1}{4}x\sin 2x - \frac{1}{8}\cos 2x + c

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