Indefinite integral ∫ x ^ 3 / (1 + x ^ 2) DX Indefinite integral ∫ x ^ 2 / (1 + x ^ 3) DX x^2 * arctanx This is the original topic!

Indefinite integral ∫ x ^ 3 / (1 + x ^ 2) DX Indefinite integral ∫ x ^ 2 / (1 + x ^ 3) DX x^2 * arctanx This is the original topic!

∫x^2 * arctanxdx=1/3×∫arctanxd(x^3)=1/3×x^3×arctanx-1/3×∫x^3/(1+x^2)=1/3×x^3×arctanx-1/3×∫(x^3+x-x)/(1+x^2)=1/3×x^3×arctanx-1/3×∫xdx+1/3×∫x/(1+x^2)=1/3×x^3×arctanx-1/6×x^...