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The value of int2^("mx").3^("nx")dx (whe...

The value of `int2^("mx").3^("nx")dx` (when m, `n in N`) is equal to:

A

`(2^(mx)+3^(nx))/(mln2+nln3)+C`

B

`(e^((mln2+nln3))x)/(mln2+nln3)+C`

C

`(2^(mx).3^(nx))/(ln(2^(m).3^(n)))+C`

D

None

Text Solution

Verified by Experts

The correct Answer is:
3
`=int(2^(m)*3^(n))^(x) dx=((2^(m)*3^(n))^(x))/(ln(2^(m)*2^(n)))+C`
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