求∫x2arctanxdx.

admin2022-10-12  31

问题 求∫x2arctanxdx.

选项

答案∫x2arctanxdx=∫arctancd(x3/3)=x3/3arctanx-1/3∫x3/(1x2)dx=x3arctanx-1/3∫(x-x/(x2+1))dx=x3arctanx-x2/6+1/6ln(1+x2)+C.

解析
转载请注明原文地址:https://kaotiyun.com/show/psC4777K
0

最新回复(0)