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If delta(x)=|[1,cosx,1-cosx],[1+sinx,cos...

If `delta(x)=|[1,cosx,1-cosx],[1+sinx,cosx,1+sinx-cosx],[sinx,sinx,1]|`, then `int_0^(pi/2)delta(x)dx` is equal to

Answer

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Knowledge Check

  • Let Delta(x)=|(cos^(2)x,cosxsinx,-sinx),(cosxsinx,sin^(2)x,cosx),(sinx,-cosx,0)| then int_(0)^(pi//2){Delta(x)+Delta'(x)]dx equals

    A
    `pi//3`
    B
    `pi//2`
    C
    `2pi`
    D
    `3pi//2`

  • int (x+sinx)/(1+cosx)dx is equal to

    A
    log (1+cos x ) + c
    B
    log (x + sin x) + c
    C
    x - (tan ) x/2 + c
    D
    x. (tan x/2 )+ c

  • int(x+sinx)/(1+cosx)dx is equal to

    A
    `tan""(1)/2x`
    B
    `x tan""1/2 x`
    C
    `cot""1/2x`
    D
    `xcot ""1/2 x `

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