MathematicsEasy64×since 2004Q4052The integral ∫(xxsinx+cosx)2dx\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx}∫(xsinx+cosxx)2dx is equal to (where C is a constant of integration):Asecx−xtanxxsinx+cosx+C\sec x - {{x\tan x} \over {x\sin x + \cos x}} + Csecx−xsinx+cosxxtanx+CBsecx+xtanxxsinx+cosx+C\sec x + {{x\tan x} \over {x\sin x + \cos x}} + Csecx+xsinx+cosxxtanx+CCtanx−xsecxxsinx+cosx+C\tan x - {{x\sec x} \over {x\sin x + \cos x}} + Ctanx−xsinx+cosxxsecx+CDtanx+xsecxxsinx+cosx+C\tan x + {{x\sec x} \over {x\sin x + \cos x}} + Ctanx+xsinx+cosxxsecx+CCheck answerSkip