Question

Calcule a integral.

$\int\limits^3_2 (- x^{2} +3x+5) \, dx$

Answer 1

$\int\limits^3_2 {-x^2+3x+5} \, dx = |_2^3 \ \frac{-x^3}{3}+\frac{3 x^2}{2}+5 x=\\ \\ \frac{-3^3.}{3}+\frac{3 .3^2}{2}+5 .3-(\frac{-2^3}{3}+\frac{3 .2^2}{2}+5.2)=\frac{37}{6}$