∫(x^11)/(x^8+3x^4+2)dx
问题描述：
∫(x^11)/(x^8+3x^4+2)dx
答
∫(x^11)/(x^8+3x^4+2)dx=1/4*∫(x^8)/(x^8+3x^4+2)dx^4t=x^4原积分=1/4*∫t^2/(t^2+3t+2)dt=1/4*∫(t^2+3t+2-3t-3+1)/(t+1)(t+2) dt=1/4*∫dt-1/4*∫3/(t+2)dt+1/4*∫[1/(t+1)-1/(t+2)]dt=1/4t-3/4*ln(t+2)+1/4*ln(...