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If int f (x) dx = g (x) +c, then int f...

If ` int f (x) dx = g (x) +c, then int f(x)g' (x)dx`

A

`int(f (x))^2 dx`

B

`int f (x) g (x) dx`

C

`int f' (x) g(x) dx`

D

`int (g(x))^2 dx`.

Text Solution

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The correct Answer is:
A
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    A
    `int_(a)^(b) f( y ) dy`
    B
    `- int_(a)^(b) f(x) dx `
    C
    `int_(a)^(b) f(a+b-x) dx `
    D
    ` int_(0)^(a) f(a-x) dx `

  • If int f'(x) e^(x^(2))dx = (x-1)e^(x^(2))+c then f (x) is . . . . .

    A
    `2x^(3) - (x^(2))/(2) + x +c`
    B
    `(x^(3))/(2) + 3x^(2) + 4x +c`
    C
    `x^(3) + 4x^(2) + 6x +c`
    D
    `(2x^(3))/(3)- x^(2) + x + c`

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