Question

∫_₁¹ (3x² - 4x + 7) dx?

Answer 1

$\frac{3}{3} {x}^{3} - \frac{4}{2} {x}^{2} + 7x + c = \\ = {x}^{3} - 2 {x}^{2} + 7x + c$

Usando o Teorema Fundamental do Cálculo:

$1 - 2 + 7 - (-1 - 2 - 7) = 6 - ( - 10) = 6 + 10= \\ = 16$