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Evaluate the following integrals int e...

Evaluate the following integrals
`int e^(x) sin 3 x cos 3x dx`

A

`(1)/(2)e^(x)[(1)/(26)(sin 5x+5cos 5x)+(1)/(2)(sin x-cosx)]+c`

B

`(1)/(2)e^(x)[(1)/(26)(sin 5x-5cos 5x)+(1)/(2)(sin x + cosx)]+c`

C

`(1)/(2)e^(x)[(1)/(26)(sin 5x-5cos 5x)+(1)/(2)(sin x-cosx)]+c`

D

`(1)/(2)e^(x)[(1)/(26)(sin 5x-5cos 5x)-(1)/(2)(sin x-cosx)]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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