Question

Найдите интеграл ∫ 3(2х²-1)²dх​

Answer 1

$∫3(2x {}^{2} - 1) {}^{2} dx \\ 3 \times ∫(2x {}^{2} - 1) {}^{2}dx \\ 3 \times ∫4x {}^{4} - 4x {}^{2} + 1dx \\ 3(∫4x {}^{4} dx - ∫4x {}^{2}dx + ∫1dx) \\ 3( \frac{4x {}^{5} }{5} - \frac{4x {}^{3} }{ 3} + x) \\ \frac{12x {}^{5} }{5} - 4x {}^{3} + 3x +C,C∈R$