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Let F(x) be the antiderivative of f(x)=3...

Let `F(x)` be the antiderivative of `f(x)=3 cosx-2sinx` whose graph passes through the point `((pi)/(2),1)`. Then `F((pi)/(3))` is equal to……..

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Knowledge Check

  • If f(x)=(2-3cosx)/(sinx) , then f'((pi)/(4)) is equal to

    A
    `2sqrt(2)-6`
    B
    `6-2sqrt(2)`
    C
    `3-sqrt(2)`
    D
    `sqrt(2)-3`

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