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Evaluate : int "("3e^(x) -(1)/(5x)+ " s...

Evaluate : ` int "("3e^(x) -(1)/(5x)+ " sec x tan x ) dx "`

A

`e^(x) - log_(e) x+ sec x+ C`

B

`3e^(x) -(1)/(5) " log"_(e) x+ tanx sec x+ C`

C

`3e^(x) -(1)/(5) " log"_(e) x+ sec x+ C`

D

`3e^(x) + " log"_(e) x+ " sec x+ C"`

Text Solution

Verified by Experts

The correct Answer is:
C
`int " (3e"^(x)-(1)/(5x) + " sec x tan x ) dx "`
` =3 int e^(x) dx -(1)/(x) " dx " + int " sec x tan x dx"`
`=3e^(x) -(1)/(5) " log"_(e) x+ " sec x+ C"`
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