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If int(a^(x)e^(3x))/(b^(x)c^(x))dx = 1/p...

If `int(a^(x)e^(3x))/(b^(x)c^(x))dx = 1/p((a^(x)e^(3x))/(b^(x)c^(x))) + k` then P=

A

`3 log a log(b/c)`

B

`log a + 3- log bc`

C

`log(e^(3)abc)`

D

log b + log c - log a -3

Text Solution

Verified by Experts

The correct Answer is:
B
`int ((ae^(3))/(bc))^(x) dx = ((ae^(3))/(bc))^(x)/(log ((ae^(3))/(bc))) + k`
`therefore P= log((ae^(3))/(bc))`
`=log ae^(3) -log bc`
`=log a + 3- log bc`
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