1-3-f-x-3-f-x-dx-1-3-f-x-3-df-x-1-3-t-3-dt-t-4-4-1-3-f-x-4-4-1-3-

Question Number 195689 by Shomurotovdiyorbek last updated on 07/Aug/23

\int_{1}^{3} f {(x)}^{3} f^{'} (x) d x = \int_{1}^{3} (f {(x)}^{3}) d f (x) = \int_{1}^{3} t^{3} d t = \frac{t^{4}}{4} \int_{1}^{3} = \frac{f {(x)}^{4}}{4} \int_{1} 3