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Question

π0xdx1+sinx =

A
π6
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B
π
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C
π3
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D
Cannot be valued
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Solution

The correct option is C π
x1+sinxdx

=xcos2x1sinxdx

=(xcos2xxsinxcos2x)dx

=xtanx+ln|cosx|xsinxtanxxcosx+ln|tanx+secx|+C

π0x1+sinxdx=[xtanx+ln|cosx|xsinxtanxxcosx+ln|tanx+secx|]π0

π0x1+sinxdx=π

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