Question

calcule a seguinte primitiva imediata ∫30×

Answer 1

Oi Francyelle

∫ 30x dx = 30x²/2 + C = 15x² + C

Answer 2

✅ Após resolver os cálculos, concluímos que a primitiva - antiderivada - ou integral indefinida - procurada é:

$\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf \int 30x\,dx = 15x^{2} + c\:\:\:}}\end{gathered} }$

Se queremos resolver:

         $\Large\displaystyle\begin{gathered}\tt \int 30x\,dx = \:?\end{gathered}$

Para encontrar esta primitiva devemos, fazer o seguinte:

       $\Large\displaystyle\begin{gathered}\tt \int 30x\,dx = 30\cdot \int x\,dx\end{gathered}$

                             $\Large\displaystyle\text{ \begin{gathered}\tt = 30\cdot\frac{x^{1 + 1}}{1 + 1} + c\end{gathered} }$

                             $\Large\displaystyle\begin{gathered}\tt = \frac{30}{2}x^{2} + c\end{gathered}$

                             $\Large\displaystyle\begin{gathered}\tt = 15x^{2} + c\end{gathered}$

✅ Portanto, a primitiva procurada é:

       $\Large\displaystyle\begin{gathered}\tt \int 30x\,dx = 15x^{2} + c\end{gathered}$

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