Find the indefinite integral below.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(4e^{4t}i-2sin(2t)j+12cos(4t)k)dt$

$Do$ not include $an$ arbitrary constant vector.

$e^{4t}i-cos(2t)j+3sin(4t)k$

$e^{4t}i+cos(2t)j-3sin(4t)k$

$e^{4t}i+cos(2t)j+12sin(4t)k$

$e^{4t}i+cos(2t)j+3sin(4t)k$

$\frac{e^{4t}}{4}i+cos(2t)j+3sin(4t)k$