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If int (2tan x+3)/(sin^(2)x+2cos^(2)x)dx...

If `int (2tan x+3)/(sin^(2)x+2cos^(2)x)dx`
`=1_(n)(1+sec^(2)x)+ p tan^(-1)((tanx)/(q))+c`,then pq is

A

6

B

`3//2`

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
3
`int (2 tan x+3)/(sin^(2)x+2 cos^(2) x)`
`int((2tanx+3)sec^(2)x)/(tan^(2)x+2)dx`
`int(2t+3)/(t^(2)+2)dt`
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