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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.`

Text Solution

Verified by Experts

The correct Answer is:
`4/3-sqrt(3)`
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The tangent to the graph of the function y=f(x) at the point with abscissa x=a forms with the x-axis an angle of pi/3 and at the point with abscissa x=b at an angle of pi/4 , then the value of the integral, int_1^b f'(x).f'' (x) dx is equal to

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