∫4x3 dx=∫4x−3 dx\int \frac{4}{x^{3}} \, dx = \int 4x^{-3} \, dx∫x34dx=∫4x−3dx
4x−3+1−2=−2x−2∣12=−2x2∣12\frac{4x^{-3+1}}{-2} = -2x^{-2}\left|_{1}^{2} = \frac{-2}{x^{2}}\right|_{1}^{2}−24x−3+1=−2x−212=x2−212
= −222−−212=−12+2=112\frac{-2}{2^{2}} - \frac{-2}{1^{2}} = -\frac{1}{2} + 2 = 1\frac{1}{2}22−2−12−2=−21+2=121
