∫(3 sin t+sin^2t/1) dt

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∫(3sint+sin^2t/1)dt∫(3sint+sin^2t/1)dt∫(3sint+sin^2t/1)dt∫(3sint+sin^2t)dt设tan(t/2)=u,sint=2u/(1+u&#

∫(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
=...