[tex](x+1)^3=0\\ x+1=0\\ x=-1\\\\ \displaystyle V=\pi \int \limits_{-1}^0((x+1)^3)^2\, dx=\pi \int \limits_{-1}^0(x+1)^6\, dx=\\ V=\pi \left[\dfrac{(x+1)^7}{7}\right]_{-1}^0\\ V=\pi \left(\dfrac{(0+1)^7}{7}-\dfrac{(-1+1)^7}{7}\right)\\ V=\pi \left(\dfrac{1}{7}-0\right)\\ V=\dfrac{\pi}{7}[/tex]