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__ __ = 2\/ x sin \/ x + C
/ __ | Cos \/ x dx / __ sin \/ x = ----------- + C d __ ---- \/ x dx __ sin \/ x = ----------- + C 1 -1/2 --- (x) 2 __ sin \/ x = ----------- + C 1 ------ __ 2\/ x __ __ = 2\/ x sin \/ x + C
Above question was wrong sorry for that. / __ | Cos \/ x dx / __ Let \/ x = t Diff. w.r.t. x 1 - 1/2 --- x dx = dt 2 __ dx / 2\/ x = dt dx / 2t = dt dx = 2t dt / =| Cos t . 2t dt / / = 2| t . Cos t dt / / = 2t(sin t) - | 1. sin t dt / = 2t . sin t - (- cos t) = 2t . sin t + cos t __ __ __ = 2\/ x . sin \/ x + cos \/ x