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求:微积分∫(x^2-1)sin2xdx

题目详情
求:微积分∫(x^2-1)sin2xdx
▼优质解答
答案和解析
∫(x^2-1)sin2xdx =∫x^2*sin2xdx-∫sin2xdx =-1/2*∫x^2dcos2x-1/2*∫sin2xd2x =-1/2*∫x^2dcos2x-1/2*∫sin2xd2x =-1/2*∫x^2dcos2x-1/2*(-cos2x+C) =-1/2*∫x^2dcos2x+1/2*cos2x+C =-1/2*(x^2*cos2x-∫cos2xdx^2...