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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

A

`0`

B

`2`

C

`-2`

D

none of these

Text Solution

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To solve the integral \[ I = \int_0^4 \frac{(y^2 - 4y + 5) \sin(y - 2)}{2y^2 - 8y + 11} \, dy, \] we will perform a substitution and analyze the properties of the resulting function. ...
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