Let `d/(dx) (F(x))= e^(sinx)/x, x>0`. If `int_1^4 2e^sin(x^2)/x dx = F(k)-F(1)`, then possible value of k is:

Explanation

To solve the problem, we need to find the value of \( k \) such that:

\[ \int_1^4 \frac{2e^{\sin(x^2)}}{x} \, dx = F(k) - F(1) \]

where \( \frac{d}{dx} F(x) = \frac{e^{\sin x}}{x} \).

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