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IfI1=int0^(pi/2)f(sinx)sinxdx and I2=int...

If`I_1=int_0^(pi/2)f(sinx)sinxdx` and `I_2=int_0^(pi/2)f(cosx)cosxdx`then`I_1/I_2`

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Knowledge Check

  • If I_(1)=int_(0)^(pi//2)f(sin2x)sin x dx and I_(2)=int_(0)^(pi//4)f(cos2x)cosx dx , then I_(1)//I_(2) is equal to

    A
    1
    B
    2
    C
    `1//sqrt(2)`
    D
    `sqrt(2)`

  • If I_(1)=int_(0)^(pi//4)sin^(2)xdx and I_(2)=int_(0)^(pi//4)cos^(2)xdx , then

    A
    `I_(1)=I_(2)`
    B
    `I_(1) lt I_(2)`
    C
    `I_(1) gt I_(2)`
    D
    `I_(2)=I_(1)+pi//4`

  • If I_(1)=int_(0)^(pi//4)sin^(2)xdx and I_(2)=int_(0)^(pi//4)cos^(2)xdx , then

    A
    `I_(1)=I_(2)`
    B
    `I_(1) lt I_(2)`
    C
    `I_(1) gt I_(2)`
    D
    `I_(2)=I_(1)+pi//4`

    • Similar Questions

    Explore conceptually related problems

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    int_0^(pi/2) x^2sinxdx

    int_0^(pi/2) cosx/(1+sinx)dx

    int_0^(pi/2) (Cosx - Sinx)dx

    If I_(1)=int_(0)^(pi//2)"x.sin x dx" and I_(2)=int_(0)^(pi//2)"x.cos x dx" , then

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