求解数学题∫(3t+1)/(t*t-t+1)
问题描述:
求解数学题∫(3t+1)/(t*t-t+1)
答
分离啊 把它分成 ∫1/(t+b)^2dt+∫1/(t+c)dt 再用公式 即可 大哥啊这可是最基本的啊
答
∫(3t+1)/(t²-t+1)dt=∫[3(t-1/2)+5/2]/[(t-1/2)²+3/4]dt=3∫(t-1/2)/[(t-1/2)²+3/4]d(t-1/2)+5{∫1/[(t-1/2)²+3/4]d(t-1/2)}/2=3{∫1/[(t-1/2)²+3/4]d[(t-1/2)²+3/4]}/2+5{∫1/[(t-1...