Question

A área compreendida entre o gráfico da função f(x)...

Answer 1

$Ola' \\ \\ A=\int_a ^{b}f(x)dx ~~--\ \textgreater \ \begin{cases}f(x)=x\²+1 \\ 0 \leq x \leq 2=\ \textgreater \ [0,2] \\ a=0 \\ b=2\\ \end{cases}\\ \\ A=\int_0 ^{2} ( x^{2} +1)dx \\ \\ A=\int_0 ^{2} x^{2} dx+\int_0 ^{2}dx \\ \\ A= \frac{x\³}{3} +x\bigg]_0 ^{2} \\ \\ A= \frac{2\³}{3}+2-0 \\ \\ \boxed{\boxed{A= \frac{14}{3} }} ~---\ \textgreater \ \textcircled{I} \\ \\ \mathbb{xxxxxxxxxxxxxxxxxxxxxxxxxxxx}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$