✅ Após resolver todos os cálculos, concluímos que a antiderivada - primitiva ou integral indefinida - é:
[tex]\Large\displaystyle\text{$\begin{gathered}\boxed{\boxed{\:\:\:\bf F(x) = -\cos(x) + c\:\:\:}}\end{gathered}$}[/tex]
Seja a função:
[tex]\Large\displaystyle\text{$\begin{gathered}\tt f(x) = \sin(x)\end{gathered}$}[/tex]
Calculando a antiderivada da função "f(x)", temos:
[tex]\Large\displaystyle\text{$\begin{gathered}\tt F(x) = \int f(x)\,dx\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered}\tt = \int \sin\,dx\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered}\tt = -\cos(x) + c\end{gathered}$}[/tex]
✅ Portanto, a antiderivada procurada é:
[tex]\Large\displaystyle\text{$\begin{gathered}\tt F(x) = -\cos(x) + c\end{gathered}$}[/tex]
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