Question

qual o valor da integral indefinida da função f (x)=e4c+1?

Answer 1

Olá!

$\displaystyle \int e^{4c} + 1 \, dc \\ \\ \\ 1 \cdot \int e^{4c} + 1 \, dc\\ \\ \\ u = 4c \\ \\ du = 4 \, dc \\ \\ \\ \frac{1}{4} \cdot \int e^{u} + 1 \, du \\ \\ \\ \frac{1}{4}e^{u}+c + k \\ \\ \\ \boxed{\boxed{\frac{1}{4}e^{4c}+c+k}}$