Question

integrar tres vezes x vezes dx

Answer 1

Integrais de potências de x:

$\displaystyle\int x^{n}dx=\dfrac{x^{n+1}}{n+1}+constante~~~~~se~n\neq-1$

Constantes pode sair de uma integral:

$\displaystyle\int kf(u)du=k\int f(u)du$
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$\displaystyle\int3xdx=3\int xdx\\\\\\\displaystyle\int3xdx=3\int x^{1}dx\\\\\\\displaystyle\int3xdx=3\dfrac{x^{1+1}}{1+1}+constante\\\\\\\boxed{\boxed{\displaystyle\int3xdx=\dfrac{3}{2}x^{2}+constante}}$