∫x눀sin(x⼀2)dx

2025-06-26 06:39:33
推荐回答(1个)
回答1:

∫x^2.sin(x/2)dx
=-2∫x^2 dcos(x/2)
=-2x^2.cos(x/2) +4∫x.cos(x/2) dx
=-2x^2.cos(x/2) +8∫x dsin(x/2)
=-2x^2.cos(x/2) +8x.sin(x/2)-8∫sin(x/2) dx
=-2x^2.cos(x/2) +8x.sin(x/2) +16cos(x/2) + C