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int(1)/(sin^(2)x cos^(2)x) dx = ?...

`int(1)/(sin^(2)x cos^(2)x) dx = ?`

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Knowledge Check

  • int(1)/(16sin^(2)x+25cos^(2)x)dx=

    A
    `(1)/(20)tan^(-1)((4)/(5)tanx)+c`
    B
    `(-1)/(20)tan^(-1)((4)/(5)tanx)+c`
    C
    `-tan^(-1)((5)/(4)tanx)+c`
    D
    `(1)/(20)log[4sinx+sqrt(16sin^(2)x+25cos^(2)x)]+c`

  • int((sinx+cosx)(1-sinxcosx))/(sin^(2)x cos^(2)x)dx=

    A
    `sinx+cosx+c`
    B
    `tanx+cotx+c`
    C
    `secx-cosecx+c`
    D
    `sinx-cosx+c`

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    int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=

    int(ln(1+sin^(2)x))/(cos^(2)x)dx

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