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Let f(x) = int e^(x) (x - 1) (x - 2)dx. ...

Let `f(x) = int e^(x) (x - 1) (x - 2)dx`. Then f decreases in the interval a)`(-oo, - 2)` b)`(-2, -1)` c)(1, 2) d)`(2, + oo)`

A

`(-oo, - 2)`

B

`(-2, -1)`

C

(1, 2)

D

`(2, + oo)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Let f(x) = cos x - (1 - (x^(2))/(2)) then f(x) is increasing in the interval a) (-oo, 1] b) [0, oo) c) (-oo, -1] d) (-oo, oo)

    A
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    D
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  • If |x-1|+|x-3| le 8 , then the values of x lie in the interval a) (-oo, -2) b) [-2, 6] c) (-3, 7) d) (-2, oo)

    A
    `(-oo, -2)`
    B
    `[-2, 6]`
    C
    `(-3, 7)`
    D
    `(-2, oo)`

  • If the roots of the quadratic equation 3x^(2) + 2x + a^(2) - a = 0 in x are of opposite signs, then a lies in the interval a) (-oo, -2) b) (-oo, 0) c) (-1, 0) d) (0, 1)

    A
    `(-oo, -2)`
    B
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    C
    `(-1, 0)`
    D
    `(0, 1)`

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