Question

Pessoas me ajudem, não entendo estes cálculos.

fb1438127e28c3759724b9a81e28e47b.docx

58e86f8ae0aceb58fedaa943c980ff14.docx

Answer 1

1)

$\int\limits^4_1 {2\sqrt{x}} \, dx \\ \\ 2\int\limits^4_1 {\sqrt{x}} \, dx \\ \\ 2\int\limits^4_1 {x^{\frac{1}{2}}} \, dx$


$2 \ . \ {\frac{x^{\frac{1}{2} \ + \ 1}}{\frac{1}{2} \ + \ 1} \ |^{4}_{1}$

$2 \ . \ \frac{x^{\frac{3}{2}}}{\frac{3}{2}} \ |^{4}_{1}$



$2 . [{\frac{(4)^{\frac{3}{2}}}{\frac{3}{2}} \ - \ {\frac{(1)^{\frac{3}{2}}}{\frac{3}{2}}]$

$2 . [{\frac{\sqrt{(4)^{3}} }{\frac{3}{2}} \ - \ {\frac{\sqrt{(1)^{3}} }{\frac{3}{2}} ]$

$2 . [{\frac{\sqrt{64}}{\frac{3}{2}} \ - \ {\frac{\sqrt{1}}{\frac{3}{2}}]$

$2 . [({\frac{8}{\frac{3}{2}}) \ - \ ({\frac{1}{\frac{3}{2}})]$

$2 . [(8 \ . \ \frac{2}{3}) \ - \ (1 \ . \ \frac{2}{3})]$

$2 . [\frac{16}{3} \ - \ \frac{2}{3}]$

$2 . [\frac{14}{3}]$ = $\frac{28}{3}$