int0^4((y^2-4y+5)sin(y-2)dy)/([2y^2-8y+1...

`int_0^4((y^2-4y+5)sin(y-2)dy)/([2y^2-8y+11])` is equal to (a) 0 (b) 2 (c) `-2` (d) none of these

`0`

`2`

`-2`

none of these

Text Solution

Verified by Experts

The correct Answer is:

`I=int_(0)^(4)((y^(2)-4y+5)sin(y-2))/((2y^(2)-8y+1))dy`.Put `y-2=z`. Then,
`I=int_(-2)^(2)(z^(2)+1)/(2z^(2)-7)sin(z)dz=0`

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