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A:int(0)^(pi//2)(sqrtsinx)/(sqrt(sinx)+s...

`A:int_(0)^(pi//2)(sqrtsinx)/(sqrt(sinx)+sqrtcosx)dx=(pi)/(4)`
`R:int_(0)^(pi//2)(f(sinx))/(f(sinx)+f(cosx))dx=(pi)/(4)`

A

Both A and R are true R is the correct explanatino of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

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int_(0)^(pi//2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx=

I : int_(0)^(pi//2)(sqrtcotx)/(sqrt(tanx)+sqrt(cotx))dx=(pi)/(4) II : int_(0)^(pi//2)(2sinx+3cosx)/(sinx+cosx)dx=(pi)/(4)

Knowledge Check

  • int_(0)^(pi//2)(cos^(3)x)/(sinx+cosx)dx=

    A
    `(pi-1)/(2)`
    B
    `(pi-1)/(4)`
    C
    `(1+pi)/(4)`
    D
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