Question

Integrais!!

 

  ∫ x^2 (x^3+5)^6dx

 

Answer 1

$<var>\int{x^{2} (x^{3}+5)^{6}}\, dx \\ \\ podemos \ chamar \ x^{3}+5=u\\ \\ du=2x^{2}dx\\ \\ \frac{du}{2}=x^{2}dx\\ \\ substituindo\\ \\ \int{ .u^{6}}\, du/2 \\ \\ \frac{1}{2}.u^{7}\frac{1}{7} \\ \\ \frac{u^{7}}{14} \\ \\ \frac{(x^{3}+5)^{7}}{14} \\</var>$