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int 3^(x) cos^(3)x dx...

`int 3^(x) cos^(3)x dx`

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The correct Answer is:
`(3)/(4).(3^(x))/(1+(log3)^(2))[(log3)cosx+sinx]+(1)/(4).(3^(x))/(9+(log3)^(2))[(log3)cos3x+3sin3x]+c`
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