help me help me me !!!

=[tex] \int\limits { x^{2} }(y+1) + y^{2} (x - 1) \, dx [/tex]
=[tex] \int\limits{ x^{2}.y+ x^{2} + y^{2}.x - y^{12} } \, dx [/tex]
=[tex]( \frac{1}{3} x^{3} \frac{1}{2}y^{2}) + \frac{1}{3}x^{3} + (\frac{1}{3}y^{3}. \frac{1}{2}x^{2})- \frac{1}{3} y^{3} + C[/tex]
=[tex] \frac{1}{6} x^{3} y^{2}+ \frac{1}{3}x^{3}+ \frac{1}{6}y^{3}.x^{2}-\frac{1}{3}y^{3} + C[/tex]