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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If the tangent to the graph function y=f(x)y = f\left( x \right) makes angles π4\frac{\pi }{4} and π3\frac{\pi }{3} with the xx-axis is at the point x=2x = 2 and x=4x = 4 respectively, the value of ∫24 f′(x)  f′′(x)    dx\int \nolimits_2^4 \,f'\left( x \right)\,\,f''\left( x \right)\,\,\;dx
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Correct option: D
1\mathrm{1}
Option D (1\mathrm{1}) is correct because it is the result of evaluating the definite integral using the given tangent values.

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