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Question

If xϵ(π4,3π4)thensin xcos x1sin 2xesin xcos x dx=

A
esin x+c
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B
esin xcos x+c
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C
esin x+cos x+c
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D
ecos xsin x+c
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Solution

The correct option is A esin x+c
sin xcos x1sin 2xesin xcos x dx=sin xcos xsin xcos xesin xcos x dx
=esin xcos x dx=esin x+c

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