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Match the following. {:(I,int(0)^(pi//...

Match the following.
`{:(I,int_(0)^(pi//2)sqrt(1-cos2x)dx=,(a),2),(II,int_(0)^(pi//2)sqrt(1+sin2x)dx=,(b),sqrt2),(III,int_(0)^(1)(x)/(1+x^(2))dx=,(c),log2),(IV,int_(0)^(pi//2)(cosx)/(1+sinx)dx=,(d),(1)/(2)log2):}`

A

a, b,c ,d

B

b,c a,d

C

b, a,d,c

D

c, d, b, a

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Knowledge Check

  • int_(0)^(pi//2) (Cos x)/(1+Sin x) dx=

    A
    1
    B
    2
    C
    ln 4
    D
    ln 2
  • int_(0)^(2pi) sqrt(1-cos 2x)/(2)dx=

    A
    4
    B
    2
    C
    8
    D
    6
  • int_(0)^(pi//2) (dx)/(1 + sin^(2)x)=

    A
    `(pi)/(2sqrt(2))`
    B
    `(pi)/(sqrt(2))`
    C
    `pi/2`
    D
    0
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