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int sqrt(1+sinx)dx " is equal to "...

` int sqrt(1+sinx)dx " is equal to "`

A

` -2sqrt(1-sinx)+C`

B

`sin(x//2)+cos(x//2)+C`

C

`cos(x//2)-sin(x//2)+C`

D

`2sqrt(1-sinx)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
`I=int(sqrt(1+sinx)sqrt(1-sinx))/(sqrt(1-sinx))dx`
`=int(cosx)/(sqrt(1-sinx))dx=-2sqrt(1-sinx)+C`
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