Question

doar ex 2 , rapid , multumesc

Answer 1

Explicație pas cu pas:

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

$= \int_{-1}^{\frac{1}{2}} 2 {x}^{2} \ dx = 2\int_{-1}^{\frac{1}{2}} {x}^{2} \ dx = \dfrac{2}{3} \cdot {x}^{3} \bigg|_{-1}^{\frac{1}{2}}$

$= \dfrac{2}{3} \cdot \bigg( \dfrac{1}{8} + 1 \bigg) = \dfrac{2}{3} \cdot \dfrac{9}{8} = \dfrac{3}{4}$

q.e.d.