如图:
令x^2=4r^2+1,则2xdx=8rdr,有xdx=4rdr,推出dr=xdx/4/r原式=r^3*xdr=r^3*x*xdx/4/r=r^2*x^2/4*dx因为r^2=(x^2-1)/4原式=r^2*x^2/4*dx=(x^2-1)/4*x^2/4*dx=(x^2-1)*x^2/16*dx=(x^4-x^2)/16*dx不定积分=(X^5/5-x^3/3)/16+C
不知道对不对,没检查