1.
If xx3x3dx=x+Ex5/6+Dx2/3+Cx1/2+Bx1/3+Ax1/6+log(x61)6+K\int \frac{\sqrt{x}}{\sqrt{x} - 3\sqrt[3]{x}} dx = x + Ex^{5/6}+Dx^{2/3}+Cx^{1/2}+Bx^{1/3}+Ax^{1/6}+\log(\sqrt[6]{x}-1)^6+K, find A+B+C+D+EA+B+C+D+E