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The value of inte^(2x)(2sin3x+3cos3x)dx ...

The value of `inte^(2x)(2sin3x+3cos3x)dx` is

A

`e^(2x)sin3x+c`

B

`e^(2x)cos3x+c`

C

`e^(2x)+c`

D

`e^(2x)(2sin3x)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
`inte^(2x)(2sin3x+3cos3x)dx` ,brgt `=2inte^(2x)sin3xdx+3inte^(2x)cos3xdx`
`=e^(2x)sin3x-3inte^(2x)cos3xdx+3inte^(2x)cos3xdx`
`=e^(2x)sin3x+c`
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