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Question

sinxsinxcosxdx is equal to
(where C is integration constant)

A
12ln|sinxcosx|+x2+C
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B
12ln|sinx+cosx|+x+C
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C
12ln|sinx+cosx|+x22+C
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D
12ln|sinxcosx|x2+C
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Solution

The correct option is A 12ln|sinxcosx|+x2+C
I=sinxsinxcosxdx =122sinxsinxcosxdx =12sinx+cosx+sinxcosxsinxcosx =12cosx+sinxsinxcosxdx+12dx =12ln|sinxcosx|+x2+C

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