Question

j)∫(x2 +10)5 2xdx
Calcule integrais indefinidas

Answer 1

Resposta:

Explicação passo-a-passo:

$\int{(x^{2}+10)^{5}2x}\,dx\\\\\\Fazendo\\\\u=x^{2}+10\\\\du=2xdx\\\\\int{(x^{2}+10)^{5}2x}\,dx=\int{u^{5}}\,du=\dfrac{u^{6}}{6}+C=\dfrac{(x^{2}+10)^{6}}{6}+C\\\\\\\boxed{\int{(x^{2}+10)^{5}2x}\,dx=\dfrac{(x^{2}+10)^{6}}{6}+C}$