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int (3ax)/(b^2+c^2x^2)dx...

`int (3ax)/(b^2+c^2x^2)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(3a)/(2c^2) log|b^2+c^2x^2|`
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Knowledge Check

  • If int _(a)^(b) x^(3) dx = 0 and if int _(a)^(b) x^(2) dx = 2/3 , then the values of a and b respectively are

    A
    `1,1`
    B
    `-1,-1`
    C
    `1,-1`
    D
    `-1,1`

  • Let a,b and c be non-zero real numbers such that int_0^3(3ax^2+2bx+c)dx=int_1^3(3ax^2+2bx+c)dx , then

    A
    `a+b+c=3`
    B
    `a+b+c=1`
    C
    `a+b+c=0`
    D
    `a+b+c=2`

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    Evaluate: (i) int{sqrt(x)(ax^(2)+bx+c)}dx (ii) int(2-3x)(3+2x)(1-2x)dx

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