Question

найдите: ∫ x^3(4-x^4)dx

Answer 1

$\int\limits{x^{3}(4-x^{4})} \, dx = \int\limits{(4x^{3}-x^{7})} \, dx = \frac{4x^{4}}{4} - \frac{x^{8}}{8} =x^{4} - \frac{x^{8}}{8}$

Answer 2

интеграл x^3(4-x^4)dx=
интеграл 4x^3-x^7=
4x^4/4-x^8/8=x^4-x^8/8