Question

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 π/3 and at the point with abscissa x = b an angle of π/4, then what is the value of the integral ∫e^x{f' (x) + f"'(x)} x ∈[a, b] dx ?

(where f'(x) the derivative of f w.r.to x which is assumed to be continuous and similarly f'' (x) the double derivative of f w.r.to x)

(A)  -e^b + √3e^a

(B)  e^b + √3e^a

(C)  e^b -√3e^a

(D)   e^b + √3e^a

Answer 1

Correct option   (C)  e^b -√3e^a

Explanation:

Given