分类：教育/科学-理工学科-数学
问题：求∫[x^3/(x^8+3)]dx 
回答：∫[x^3/(x^8+3)]dx
=1/4*∫[1/((x^4)^2+3)]d(x^4)
=1/(4根3)*∫d(x^4/根3)/[(x^4/根3)^2+1]
=1/(4根3)*arctan(x^4/根3)+C.