Mathematics

Problem

The value of

\int e^{(x \sin x + \cos x)} \cdot \left( \frac{x^4 \cos^3 x - x \sin x + \cos x}{x^2 \cos^2 x} \right) dx

, is equal to a.

e^{(x \sin x + \cos x)} \cdot \left( x + \frac{1}{x \cos x} \right) + C

e^{(x \sin x + \cos x)} \cdot \left( x \cos x + \frac{1}{x} \right) + C

e^{(x \sin x + \cos x)} \cdot \left( x - \frac{1}{x \cos x} \right) + C

d. None of the above