∫x* cos²x dx=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 09:44:24
∫x*cos²xdx=?∫x*cos²xdx=?∫x*cos²xdx=?∫x*cos²xdx=1/2∫x*(1+cos2x)dx=x^2/4+1/2∫xcos2

∫x* cos²x dx=?
∫x* cos²x dx=?

∫x* cos²x dx=?
∫x* cos²x dx
=1/2∫x* (1+cos2x)dx
=x^2/4+1/2∫xcos2xdx
=x^2/4+1/4∫xdsin2x
=x^2/4+1/4xsin2x-1/4∫sin2xdx
=x^2/4+1/4xsin2x+1/8cos2x+C