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Question Number 199753 by sonukgindia last updated on 08/Nov/23

Answered by MM42 last updated on 09/Nov/23

$$let:f=xsinx+cosx\mathrm{\&}g=xcosx+sinx$$$$f=g\stackrel{0⩽x⩽1}{\Rightarrow }x=1,\frac{\pi }{4}$$$$\Rightarrow s=\mid {\int }_0^{\frac{\pi }{4}}(f-g)dx\mid +\mid {\int }_{\frac{\pi }{4}}^1(f-g)dx\mid$$$$=2\sqrt{2}-\frac{\sqrt{2}}{2}\pi +cos1-sin1✓$$$$$$

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