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If intx^(2)cos^(2)x dx=(x^(3))/(k)+(1)/(...

If `intx^(2)cos^(2)x dx=(x^(3))/(k)+(1)/(8)(2x^(2)sin2x+2xcos2x-sin2x)+c`, then the value of k is-

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Knowledge Check

  • If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c , then the value of k is-

    A
    `a^(2)`
    B
    `-a^(2)`
    C
    `(a^(2))/(2)`
    D
    `-(a^(2))/(2)`

  • If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-

    A
    1
    B
    -1
    C
    `(1)/(a)`
    D
    `-(1)/(a)`

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