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int(dx)/(3sin^2x+4cos^2x)...

`int(dx)/(3sin^2x+4cos^2x)`

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Integrate the following functions : int (dx)/(3sin^(2)x+4cos^(2)x)

Evaluate the following integrals. int(1)/(3sin^(2)x+4cos^(2)x)dx

Knowledge Check

  • int(dx)/(3+2sin2x+4cos2x)=

    A
    `(1)/(2sqrt(11))log|(sqrt(11)+2-tanx)/(sqrt(11)-2+tanx)|+c`
    B
    `(1)/(2sqrt(11))log|(sqrt(11)-2+tanx)/(sqrt(11)+2-tanx)|+c`
    C
    `(2)/(sqrt(11))log|(sqrt(11)+2-tanx)/(sqrt(11)-2+tanx)|+c`
    D
    `(2)/(sqrt(11))log|(sqrt(11)-2+tanx)/(sqrt(11)+2-tanx)|+c`

  • int(dx)/((sin^(2)x-4cos^(2)x))=?

    A
    `(1)/(4)log |(tanx-2)/(tanx+2)|+C`
    B
    `(1)/(4)log |(tanx+2)/(tanx-2)|+C`
    C
    `(1)/(4)log |(1-tan x)/(1+tanx)|+C`
    D
    None of these

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