Question

Resolvendo a integral ∫ (3x² -2x + 5) dx obtemos:

I. X³ - x² + 5x + c
II. 6x – 2 + c
III. 3 x²/2 -2 x²/2 + 5 + c
IV. 6 x² - 2x + 5 + c

Answer 1

∫ (3x² -2x + 5) dx
∫ 3x² dx - ∫ 2x dx + ∫ 5 dx

∫ 3x² dx
$3 \times \frac{x {}^{3} }{3} = x {}^{3}$
∫ 2x dx
$2 \times \frac{x {}^{2} }{2} = x {}^{2}$
∫ 5 dx
$5 \times x = 5x$

∫ 3x² dx - ∫ 2x dx + ∫ 5 dx
$x {}^{3} - x {}^{2} + 5x$
$x {}^{3} - x {}^{2} + 5x + c$
Resolvendo a integral ∫ (3x² -2x + 5) dx obtemos:

I. X³ - x² + 5x + c
I

Answer 2

Resposta:

I. X³ - x² + 5x + c

Explicação passo-a-passo:

Só resolver a integral