integral of integral of integral of x^2

解

\int \int \int x^{2} d x d x d x

\frac{x ^{5}}{60} + \frac{C x ^{2}}{2} + C x + C

解答ステップ

\int \int \int x^{2} d x d x d x

\int x^{2} d x = \frac{x ^{3}}{3} + C

= \int \int (\frac{x ^{3}}{3} + C) d x d x

\int (\frac{x ^{3}}{3} + C) d x = \frac{x ^{4}}{12} + C x + C

= \int (\frac{x ^{4}}{12} + C x + C) d x

\int (\frac{x ^{4}}{12} + C x + C) d x = \frac{x ^{5}}{60} + \frac{C x ^{2}}{2} + C x + C

= \frac{x ^{5}}{60} + \frac{C x ^{2}}{2} + C x + C