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inte^(x)[secx+log(secx+tanx)]dx=?...

`inte^(x)[secx+log(secx+tanx)]dx=?`

A

`e^(x)log(secx+tanx)+C`

B

`e^(x)secx+C`

C

`e^(x)logtanx+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`I=inte^(x){f(x)+f'(x)}dx," where "f(x)=log(secx+tanx)`
`=e^(x)f(x)+C=e^(x)log(secx+tanx)+C`.
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