Question

Am nevoieee urgentaaa

f(x)=x^2+5/x^2+1

Calculati Integrala de la o la 3 (x^2+1)f(x)dx=24 ​

Answer 1

$\it \int\limits^3_0 {(x^2+1)\cdot\dfrac{x^2+5}{x^2+1} \, dx =\int\limits^3_0(x^2+5)\ dx=(\dfrac{x^3}{3}+5x)\Big|^3_0=9+15-0=24$