1.

The anti-derivative of `sin 2x-4e^(3x)` isA. `(1)/(2)cos 2x-(4)/(3)e^(3x)+C`B. `-(1)/(2)cos 2x+(4)/(3)e^(3x)+C`C. `-(1)/(2)cos 2x-(4)/(3)e^(3x)+C`D. None of these

Answer» Correct Answer - C
We have, `int(sin 2x-4e^(3x))dx`
`=intsin 2xdx-4inte^(3x)dx`
`=(-cos2x)/(2)-4e^(3x)dx`
`=(-cos2x)/(2)-4(e^(3x))/(3)+C`
`=-(1)/(2)cos2x-(4)/(3)e^(3x)+C`


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