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Grade 12th passIntegral Calculus

Tell me answer step by step. Please sir how it can be solve. I do not know please help me.

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Profile image of Jamal Ashraf
9 Years agoGrade 12th pass
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1 Answer

Profile image of Nandana
9 Years ago
hi !
      √(1+cos2x) = √(1+cos2 x -sin2 x)
                          =√(cos2 x + x2sin+cos2 x - x2sin)
                          =√(2cos2 x)
     now,
           √2 ∫sinx cosx dx
                u = sinx
              du = cosx dx
              =  √2 ∫ u du
              =  1/√2 sin2 x + K  
                 where , K is orbitary constant