Question

Интеграл от -3 до 2 (2x-3)dx

Answer 1

$\int\limits^2_{-3}\,(2x-3)\, dx=\frac{1}{2}\cdot \frac{(2x-3)^2}{2}\, \Big |_{-3}^2=\frac{1}{6}\cdot (1^2-(-9)^2)=\frac{1}{6}\cdot (1-81)=-\frac{40}{3}\\\\\\\\\star \; \; \int \, (kx+b)^{n}\, dx=\frac{1}{k}\cdot \frac{(kx+b)^{n+1}}{n+1}+C\; \; \star$