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If int((sintheta-costheta)d theta)/((sin...

If `int((sintheta-costheta)d theta)/((sintheta+costheta)sqrt(sin theta costheta+sin^2 thetacos^2 theta))=p tan^-1 sqrt((sin theta+costheta)^q+r+c)` where `p,q,r and c` are constants, then `2p+q+2r` equals

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Knowledge Check

  • int((sintheta+costheta))/sqrt(sin2theta)"d"theta=

    A
    `logabs(costheta-sintheta+sqrt(sin2theta))+c`
    B
    `logabs(sintheta-costheta+sqrt(sin2theta))+c`
    C
    `sin^(-1)(sintheta-costheta)+c`
    D
    `sin^(-1)(sintheta+costheta)+c`

  • (sin^(3)theta+cos^(3)theta)/(sintheta+costheta)+(sin^(3)theta-cos^(3)theta)/(sintheta-costheta)=

    A
    0
    B
    1
    C
    2
    D
    3

  • int((sintheta+costheta))/(sqrt(sin2theta))dtheta is equal to

    A
    `log|costheta-sintheta+sqrt(sin2theta)|+C`
    B
    `log|sintheta-costheta+sqrt(sin2theta)|+C`
    C
    `sin^(-1)(sintheta-costheta)+C`
    D
    `sin^(-1)(sintheta+costheta)+C`

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    (sintheta+sin 2theta)/(1+costheta+cos2theta)=

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    (sintheta+sin2theta)/(1+costheta+cos2theta)=?

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