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The tangent, represented by the graph of...

The tangent, represented by the graph of the function `y=f(x),` at the point with abscissa x = 1 form an angle of `pi//6`, at the point x = 2 form an angle of `pi//3` and at the point x = 3 form and angle of `pi//4`. Then, find the value of,
`int_(1)^(3)f'(x)f''(x)dx+int_(2)^(3)f''(x)dx.`

A

`(4sqrt3-1)/(3sqrt3)`

B

`(3sqrt3-1)/(2)`

C

`(4-sqrt3)/(3)`

D

`(3sqrt3+1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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