Question

Решите интеграл: (x^2+2x^3-1)dx

Answer 1

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

Answer 2

∫(x^2 +2x^3 -1)dx = ∫x^2dx + 2∫x^3dx - ∫dx = $\frac{x^3}{3} + \frac{2x^4}{4} -x= \frac{x^4}{2} + \frac{x^3}{3} -x$