Determine o valor da integral ∫x5−xdx e assinale a opção correta.

52(5−x)5/2 −310(5−x)3/2 + c

52(5−x)5/2−310(5−x)2/3 + c

25(5−x)5/2 −310(5−x)10/3 + c

25(5+x)5/2 −310(5−x)3/2 + c

Determine o valor da integral ∫x5−xdx e assinale a opção...

Q1854795

Determine o valor da integral $\int x 5 - x d x$ e assinale a opção correta.

$\frac{2}{5} (5 - x)$ ^5/2 $- \frac{1 0}{3} (5 - x)$ ^2/3 $+ c$

$\frac{5}{2} (5 - x)$ ^5/2 $- \frac{1 0}{3} (5 - x)$ ^10/3 $+ c$

$\frac{5}{2} (5 + x)$ ^5/2 $+ \frac{1 0}{3} (5 + x)$ ^2/3 $+ c$

$\frac{2}{5} (5 - x)$ ^5/2 $- \frac{1 0}{3} (5 - x)$ ^3/2 $+ c$

$\frac{5}{2} (5 + x)$ ^5/2 $- \frac{1 0}{3} (5 - x)$ ^3/2 $+ c$