The tangent to the graph of a continuous function y=f(x) at the point with abscissa x=a forms with the X -axis an angle of \frac{\\pi}{3} and at the point with abscissa x=b an angle of \frac{\\pi}{4}, then what is the value of the integral \\int_{a} ^{b} e^{x}\{f'(x)+f"(x)\} d x ? (where f'(x) the derivative of f w.r.t. x which is assumed to be continuous and similarly f"(x) the double derivative of f w.r.t. x)

Correct Answer is : eb−√3ea

UPSEE 2017 Solved Paper

Question : 102 of 150

Marks: +1, -0

The tangent to the graph of a continuous function y=f(x) at the point with abscissa x=a forms with the X -axis an angle of

and at the point with abscissa x=b an angle of

, then what is the value of the integral

∫

ex{f′(x)+f"(x)}dx?
(where f′(x) the derivative of f w.r.t. x which is assumed to be continuous and similarly f"(x) the double derivative of f w.r.t. x)

eb+√3ea
eb−√3ea
eb+√3ea
−eb+√3ea

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