Question

интеграл 3(2x^2-1)^2dx

Answer 1

$\int\limits {3( 2x^{2}-1)^2 } \, dx = \\ \\ = \int\limits {3(4x^4-4x^2+1)} \, dx = \\ \\ = \int\limits {(12x^4-12x^2+3)} \, dx = \\ \\ = \frac{12x^5}{5}- \frac{12x^3}{3}+3x= \\ \\ =2,4x^5-4x^3+3x+C.$