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Evaluate the integerals. int sqrt(x...

Evaluate the integerals.
`int sqrt(x+sec x)dx`
on ` [(2n -(1)/(2))pi, (2n +(1)/(2)) pi], (n in Z).`

A

`2 tan^(-1)( sqrt(sec - 1)) + c `

B

`-2 " cosh"^(-1) (sqrt(2) cos" "(x)/(2)) + c `

C

`2 "tanh"^(-1) ( sqrt(sec x -1)) + c `

D

`-2 "cos"^(-1) ( sqrt(2) cos ""(x)/(2) ) + c `

Text Solution

Verified by Experts

The correct Answer is:
A
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