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If altcltb then int(a)^(b)f(x)dx is equa...

If `altcltb` then `int_(a)^(b)f(x)dx` is equal to-

A

`int_(a)^(c)f(x)dx+int_(b)^(c)f(x)dx`

B

`int_(a)^(c)f(x)dx-int_(c)^(b)f(x)dx`

C

`int_(a)^(c)f(x)dx+int_(c)^(b)f(x)dx`

D

`int_(c)^(a)f(x)dx-int_(b)^(c)f(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • int_(0)^(2a)f(x)dx is equal to -

    A
    `2int_(0)^(a)f(x)dx`
    B
    `int_(0)^(a)f(x) dx+int_(0)^(a) f(2a-x)dx`
    C
    0
    D
    `int_(0)^(a)f(x)dx+int_(0)^(2a)f(2a-x)dx`

  • int (f'(x))/(f(x))dx is equal to-

    A
    `f(x)f'(x)+c`
    B
    `log f(x)+c`
    C
    `log |f'(x)|+c`
    D
    `log f(x)+c`

  • If f(x) is an odd function then int_(-a)^(a)f(x) is equal to-

    A
    0
    B
    `int_(0)^(a)f(x)dx`
    C
    `2int_(0)^(a)f(x)dx`
    D
    none of these

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