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Evaluate the integerals. int e ^(x)...

Evaluate the integerals.
`int e ^(x)cos x dx on R.`

A

`(1)/(4)e^(x)[(3)/(2)(cos x+ sin x)+(1)/(10)(cos 3x+3 sin 3x)]+c`

B

`(1)/(4)e^(x)[(3)/(2)(cos x+ sin x)-(1)/(10)(cos 3x-3 sin 3x)]+c`

C

`(1)/(4)e^(x)[(3)/(2)(cos x+ sin x)-(1)/(10)(cos 3x+3 sin 3x)]+c`

D

`(1)/(4)e^(x)[(3)/(2)(cos x- sin x)+(1)/(10)(cos 3x-3 sin 3x)]+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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