Evaluate the following : int(0)^(pi//...

Evaluate the following :
`int_(0)^(pi//2)(1)/(1+sqrt(tanx))dx`

A

(a) `(pi)/4`

B

(b) `(pi)/2`

C

(c) `pi`

D

(d) `2pi`

Verified by Experts

The correct Answer is:

A

Evaluate the following : int(0)^(pi//2)(1)/(1+sqrt(tanx))dx
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int(0)^(pi//2)(dx)/((1+sqrt(tanx)))=(pi)/(4)
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Evaluate the following : int(0)^(pi//2)(1)/(1+sqrt(tanx))dx
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Evaluate the following : int(0)^(pi//4)(sec^(2)x)/((1+tanx)(2+tanx))...
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Evaluate the following : int(0)^(pi//2)(sqrt(tanx))/(sqrt(tanx)+sqr...
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int(0)^((pi)/2)(dx)/(1+(tanx)^(sqrt(2018)))=
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int(0)^(pi//2)(dx)/(1+(tanx)^(sqrt(2018)))=
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int(0)^(pi//2)(dx)/(1+tanx) is
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int(0)^((pi)/(2))(dx)/(1+sqrt(tanx)) is :
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