Practice problem
Hard: Integrate. ∫x3sinx2 dx\int x^3\sin x^2\,dx∫x3sinx2dx
12(sinx2−x2cosx2)+C\frac12\left(\sin x^2-x^2\cos x^2\right)+C21(sinx2−x2cosx2)+C
3(x2−2)sinx−x(x2−6)cosx+C3(x^2-2)\sin x-x(x^2-6)\cos x+C3(x2−2)sinx−x(x2−6)cosx+C
116((3−6x2)cos(2x)+2x(x3+(3−2x2)sin(2x))+C\frac1{16}\left((3-6x^2)\cos(2x)+2x(x^3+(3-2x^2)\sin(2x)\right)+C161((3−6x2)cos(2x)+2x(x3+(3−2x2)sin(2x))+C
−12cos(x2)+C-\frac12\cos(x^2)+C−21cos(x2)+C
Type a concept, like “slope” or “photosynthesis”.
