∫(3 sin t+sin^2t/1) dt

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/06 20:21:41
∫(3 sin t+sin^2t/1) dt
x){ԱZX83ODHj*$/!Y/HJ,bݾ<}#MRlQvNr~q.LYRA<(hDN ,RJv[ЄZ 5`6Jk3z#zc\l @! {

∫(3 sin t+sin^2t/1) dt
∫(3 sin t+sin^2t/1) dt

∫(3 sin t+sin^2t/1) dt
∫(3 sin t+sin^2t) dt
设tan(t/2)=u,sint=2u/(1+u²),cost=(1-u²)/(1+u²) ,t=2arctanu,dt=2/(1+u²)du
∫(3 sin t+sin^2t) dt
=∫((6u/(1+u²)+(2u/(1+u²))²)*2/(1+u²)du
=2∫(6u³+4u²+6u)/(1+u²)^3du
=4∫(3u³+2u²+3u)/(1+u²)^3du
=...