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" 7."int(sintheta)/((1+cos theta)^(2))d ...

`" 7."int(sintheta)/((1+cos theta)^(2))d theta`

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Knowledge Check

  • int_(0)^(pi//2) (sin^(2)theta)/ (1+cos theta)^(2) d theta =

    A
    `pi/2+2`
    B
    `pi/2-2`
    C
    `2-pi/2`
    D
    `-2-pi/2`

  • int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

    A
    `(cos2theta)/(sintheta+costheta)+c`
    B
    `log|sintheta+costheta)+c`
    C
    `log|sintheta-costheta|+c`
    D
    `log(sintheta+costheta)^(2)+c`

  • int(costheta-cos2theta)/(1-cos theta)d theta=

    A
    `theta+2sin theta+c`
    B
    `theta-2sin theta+c`
    C
    `2theta+2sin theta+c`
    D
    `2theta-2sin theta+c`

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