Question

O valor da integral ∫ 4 e^4x dx é:
a) e^4x+c
b)4 e^4x+c
c)e^x+c
d)4e^x+c
e)e^x/4+c

Answer 1

Resolução da questão, veja:

Alternativa “A” é a correta.

Veja:

$\mathtt{\displaystyle\int4~e^{4x}~dx}}}}}}\\\\\\\\\\ \mathtt{4~\displaystyle\int~e^{4x}~dx}}}}\\\\\\\\\ \mathtt{\dfrac{4~\cdot~e^{4x}}{4}}}\\\\\\\\\ \mathtt{\dfrac{4e^{4x}}{4}}}}\\\\\\\\\\ \Large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathbf{~\therefore~\displaystyle\int4~e^{4x}~dx=e^{4x}+C.}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$

Espero que te ajude. '-'